Informacja

Drogi użytkowniku, aplikacja do prawidłowego działania wymaga obsługi JavaScript. Proszę włącz obsługę JavaScript w Twojej przeglądarce.

English (EN)·Polski (PL)·Yкраїнський (UK)
Przejdź do strony domowej biblioteki Centralna Biblioteka Wojskowa Link otwiera się w nowym oknie Logo biblioteki Prolib Integro - strona głównaCentralna Biblioteka Wojskowa

Wyszukujesz frazę "convexity" wg kryterium: Temat

  Lista filtrów
Wyrównaj
Wyświetlanie 1-50 z 60
Tytuł:
Twice Differentiable Characterizations of Convexity Notions for Functions on Full Dimensional Convex Sets
Autorzy:
Stein, Oliver
Powiązania:
https://bibliotekanauki.pl/articles/1373546.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Jagielloński. Wydawnictwo Uniwersytetu Jagiellońskiego
Tematy:
convexity
strict convexity
strong convexity
true convexity
differentiable characterization
full dimensional convex set
Opis:
We derive $C^2$−characterizations for convex, strictly convex, as well as strongly convex functions on full dimensional convex sets. In the cases of convex and strongly convex functions this weakens the well-known openness assumption on the convex sets. We also show that, in a certain sense, the full dimensionality assumption cannot be weakened further. In the case of strictly convex functions we weaken the well-known sufficient $C^2$−condition for strict convexity to a characterization. Several examples illustrate the results.
Źródło:
Schedae Informaticae; 2012, 21; 55-63
0860-0295
2083-8476
Pojawia się w:
Schedae Informaticae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On approximately Breckner s-convex functions
Autorzy:
Burai, P.
Hazy, A.
Juhasz, T.
Powiązania:
https://bibliotekanauki.pl/articles/205651.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
convexity
approximate convexity
s-convexity
regularity properties of generalized convex functions
Opis:
The main goal of this paper is to consider the regularity and convexity properties of a given type of approximately generalized convex functions, namely approximately Breckner s-convex functions (see the origin of the definition in Breckner, 1978). Our main result is a Bernstein-Doetsch type one. It is proved that the local boundedness of such a type of function from above at a point of its domain implies approximate convexity and stronger regularity properties of the function in question on the whole domain.
Źródło:
Control and Cybernetics; 2011, 40, 1; 91-99
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Decomposability of Abstract and Path-Induced Convexities in Hypergraphs
Autorzy:
Malvestuto, Francesco Mario
Moscarini, Marina
Powiązania:
https://bibliotekanauki.pl/articles/31339339.pdf
Data publikacji:
2015-08-01
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
convex hull
hypergraph convexity
path-induced convexity
con- vex geometry
Opis:
An abstract convexity space on a connected hypergraph H with vertex set V (H) is a family C of subsets of V (H) (to be called the convex sets of H) such that: (i) C contains the empty set and V (H), (ii) C is closed under intersection, and (iii) every set in C is connected in H. A convex set X of H is a minimal vertex convex separator of H if there exist two vertices of H that are separated by X and are not separated by any convex set that is a proper subset of X. A nonempty subset X of V (H) is a cluster of H if in H every two vertices in X are not separated by any convex set. The cluster hypergraph of H is the hypergraph with vertex set V (H) whose edges are the maximal clusters of H. A convexity space on H is called decomposable if it satisfies the following three properties: (C1) the cluster hypergraph of H is acyclic, (C2) every edge of the cluster hypergraph of H is convex, (C3) for every nonempty proper subset X of V (H), a vertex v does not belong to the convex hull of X if and only if v is separated from X in H by a convex cluster. It is known that the monophonic convexity (i.e., the convexity induced by the set of chordless paths) on a connected hypergraph is decomposable. In this paper we first provide two characterizations of decomposable convexities and then, after introducing the notion of a hereditary path family in a connected hypergraph H, we show that the convexity space on H induced by any hereditary path family containing all chordless paths (such as the families of simple paths and of all paths) is decomposable.
Źródło:
Discussiones Mathematicae Graph Theory; 2015, 35, 3; 493-515
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Convexity ranks in higher dimensions
Autorzy:
Kojman, Menachem
Powiązania:
https://bibliotekanauki.pl/articles/1205064.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
convexity
convexity number
Polish vector space
continuum hypothesis
Cantor-Bendixson degree
Opis:
A subset of a vector space is called countably convex if it is a countable union of convex sets. Classification of countably convex subsets of topological vector spaces is addressed in this paper. An ordinal-valued rank function ϱ is introduced to measure the complexity of local nonconvexity points in subsets of topological vector spaces. Then ϱ is used to give a necessary and sufficient condition for countable convexity of closed sets. Theorem. Suppose that S is a closed subset of a Polish linear space. Then S is countably convex if and only if there exists $α < ω_1$ so that ϱ(x) < α for all x ∈ S. Classification of countably convex closed subsets of Polish linear spaces follows then easily. A similar classification (by a different rank function) was previously known for closed subset of $ℝ^2$ [3]. As an application of ϱ to Banach space geometry, it is proved that for every $α < ω_1$, the unit sphere of C(ωα) with the sup-norm has rank α. Furthermore, a countable compact metric space K is determined by the rank of the unit sphere of C(K) with the natural sup-norm: Theorem. If $K_1,K_1$ are countable compact metric spaces and $S_i$ is the unit sphere in $C(K_i)$ with the sup-norm, i = 1,2, then $ϱ(S_1) = ϱ(S_2)$ if and only if $K_1$ and $K_2$ are homeomorphic. Uncountably convex closed sets are also studied in dimension n > 2 and are seen to be drastically more complicated than uncountably convex closed subsets of $ℝ^2$
Źródło:
Fundamenta Mathematicae; 2000, 164, 2; 143-163
0016-2736
Pojawia się w:
Fundamenta Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The generalized Day norm. Part I. Properties
Autorzy:
Budzyńska, Monika
Grzesik, Aleksandra
Kot, Mariola
Powiązania:
https://bibliotekanauki.pl/articles/747286.pdf
Data publikacji:
2017
Wydawca:
Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
Tematy:
Asymptotic normal structure
Day norm
local uniform convexity
normal structure
Opial property
strict convexity
uniform convexity in every direction
Opis:
In this paper we introduce a modification of the Day norm in \(c_0(\Gamma)\) and investigate properties  of this norm.
Źródło:
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica; 2017, 71, 2
0365-1029
2083-7402
Pojawia się w:
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Quasidifferentiable Calculus and Minimal Pairs of Compact Convex Sets
Autorzy:
Pallaschke, Diethard
Urbański, Ryszard
Powiązania:
https://bibliotekanauki.pl/articles/1373556.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Jagielloński. Wydawnictwo Uniwersytetu Jagiellońskiego
Tematy:
nonsmooth optimization
generalized convexity
Opis:
The quasidifferential calculus developed by V.F. Demyanov and A.M. Rubinov provides a complete analogon to the classical calculus of differentiation for a wide class of nonsmooth functions. Although this looks at the first glance as a generalized subgradient calculus for pairs of subdifferentials it turns out that, after a more detailed analysis, the quasidifferential calculus is a kind of Fréchet-differentiation whose gradients are elements of a suitable Minkowski–Rådström–Hörmander space. One aim of the paper is to point out this fact. The main results in this direction are Theorem 1 and Theorem 5. Since the elements of the Minkowski–Rådström–Hörmander space are not uniquely determined, we focus our attention in the second part of the paper to smallest possible representations of quasidifferentials, i.e. to minimal representations. Here the main results are two necessary minimality criteria, which are stated in Theorem 9 and Theorem 11.
Źródło:
Schedae Informaticae; 2012, 21; 107-125
0860-0295
2083-8476
Pojawia się w:
Schedae Informaticae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Generalized Levinsons inequality and exponential convexity
Autorzy:
Pecaric, J.
Praljak, M.
Witkowski, A.
Powiązania:
https://bibliotekanauki.pl/articles/255037.pdf
Data publikacji:
2015
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Levinson's inequality
exponential convexity
Opis:
We give a probabilistic version of Levinson's inequality under Mercer's assumption of equal variances for the family of 3-convex functions at a point. We also show that this is the largest family of continuous functions for which the inequality holds. New families of exponentially convex functions and related results are derived from the obtained inequality.
Źródło:
Opuscula Mathematica; 2015, 35, 3; 397-410
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Minimax theorems for ϕ−convex functions with applications
Autorzy:
Bednarczuk, E. M.
Syga, M.
Powiązania:
https://bibliotekanauki.pl/articles/206451.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
abstract convexity
ϕ−convexity
fi-conjugation
convexlikeness
minimax theorems
joint ϕ-convexlikeness
Opis:
We investigateminimax theorems for ϕ−convex functions. As an application we provide a formula for the ϕ- conjugation of the pointwise maximum of ϕ- convex functions.
Źródło:
Control and Cybernetics; 2014, 43, 3; 421-437
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Geometric properties of noncommutative symmetric spaces of measurable operators and unitary matrix ideals
Autorzy:
Czerwińska, Malgorzata M.
Kaminska, Anna H.
Powiązania:
https://bibliotekanauki.pl/articles/746224.pdf
Data publikacji:
2017
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Symmetric spaces of measurable operators
unitary matrix spaces
rearrangement invariant spaces
k-extreme points
k-convexity
complex extreme points
complex convexity
monotonicity
(local) uniform (complex and real) convexity
p-convexity
Opis:
This is a review article of geometric properties of noncommutative symmetric spaces of measurable operators \(E(\mathcal{M},\tau)\), where \(\mathcal{M}\) is a semifinite von Neumann algebra with a faithful, normal, semifinite trace \(\tau\), and \(E\) is a symmetric function space. If \(E\subset c_0\) is a symmetric sequence space then the analogous properties in the unitary matrix ideals \(C_E\) are also presented. In the preliminaries we provide basic definitions and concepts illustrated by some examples and occasional proofs. In particular we list and discuss the properties of general singular value function, submajorization in the sense of Hardy, Littlewood and Pólya, Köthe duality, the spaces \(L_p\left(\mathcal{M},\tau\right)\), \(1\leq p < \infty\), the identification of \(C_E\) and \(G(B(H), \operatorname{tr})\) for some symmetric function space \(G\), the commutative case when \(E\) is identified with \(E(\mathcal{N}, \tau)\) for \(\mathcal{N}\) isometric to \(L_\infty\) with the standard integral trace, trace preserving \(*\)-isomorphisms between \(E\) and a \(*\)-subalgebra of \(E\left(\mathcal{M},\tau\right)\), and a general method for removing the assumption of non-atomicity of \(\mathcal{M}\). The main results on geometric properties are given in separate sections. We present the results on (complex) extreme points, (complex) strict convexity, strong extreme points and midpoint local uniform convexity, \(k\)-extreme points and \(k\)-convexity, (complex or local) uniform convexity, smoothness and strong smoothness, (strongly) exposed points, (uniform) Kadec−Klee properties, Banach−Saks properties, Radon−Nikodym property and stability in the sense of Krivine−Maurey. We also state some open problems.
Źródło:
Commentationes Mathematicae; 2017, 57, 1
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
New estimate for the curvature of an order-convex set and related questions
Autorzy:
Ramazanov, Ali B.
Powiązania:
https://bibliotekanauki.pl/articles/2050043.pdf
Data publikacji:
2020
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
gradient
estimates
curvature
convexity
algorithm
Opis:
It is well known that in discrete optimization problems, gradient (local) algorithms do not always guarantee an optimal solution. Therefore, the problem arises of finding the accuracy of the gradient algorithm. This is a fairly well-known problem and numerous publications have been devoted to it. In establishing accuracy, various approaches are used. One of these approaches is to obtain guaranteed estimates of the accuracy of the gradient algorithm in terms of the curvature of the admissible domain. With this approach, it is required to find the curvatures of the admissible region. Since finding the exact value of curvature is a difficult problem to solve, curvature estimates in terms of more or less simply calculated parameters of the problem are relevant. A new improved bound for the curvature of an order-convex set is found and is presented in this paper in terms of the steepness and parameters of strict convexity of the function.
Źródło:
Control and Cybernetics; 2020, 49, 2; 233-240
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On Korenblum convex functions
Autorzy:
Lopez, Lorena Maria
Ereú, Jurancy
Merentes, Nelson
Powiązania:
https://bibliotekanauki.pl/articles/960142.pdf
Data publikacji:
2017
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Convex function
generalized convexity
k-entropy
Opis:
We introduce a new class of generalized convex functions called the κ-convex functions, based on Korenblum's concept of κ-decreasing functions, where κ is an entropy (distortion) function. We study continuity and differentiability properties of these functions, and we discuss a special subclass which is a counterpart of the class of so-called d.c. functions. We characterize this subclass in terms of the space of functions of bounded second κ-variation, extending a result of F. Riesz. We also present a formal structural decomposition result for the κ-convex functions.
Źródło:
Commentationes Mathematicae; 2017, 57, 1
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Necessary and sufficient conditions for generalized convexity
Autorzy:
Krzyszkowski, Janusz
Powiązania:
https://bibliotekanauki.pl/articles/1311583.pdf
Data publikacji:
1995
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
generalized convexity
unrestricted n-parameter family
Opis:
We give some necessary and sufficient conditions for an n-1 times differentiable function to be a generalized convex function with respect to an unrestricted n-parameter family.
Źródło:
Annales Polonici Mathematici; 1995, 61, 1; 77-88
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Generalized approximate midconvexity
Autorzy:
Tabor, J.
Powiązania:
https://bibliotekanauki.pl/articles/969650.pdf
Data publikacji:
2009
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
approximately midconvex function
convexity
paraconvexity
semiconcavity
Opis:
Let X be a normed space and V ⊂ X a convex set with nonempty interior. Let α : [0, ∞) → [0, ∞) be a given nondecreasing function. A function ƒ : V → R is α(⋅)-midconvex if ƒ [wzór]. In this paper we study α(⋅)-midconvex functions. Using a version of Bernstein-Doetsch theorem we prove that if ƒ is α(⋅)-midconvex and locally bounded from above at every point then ƒ(rx + (1 - r)y) ≤ rƒ(x) + (1 - r)ƒ(y) + Pα(r, ¦¦x - y¦¦) for x,y ∈ V and r ∈ [0,1], where Pα : [0,1] x [0,∞) → [0,∞) is a specific function dependent on α. We obtain three different estimations of Pα. This enables us to generalize some results concerning paraconvex and semiconcave functions.
Źródło:
Control and Cybernetics; 2009, 38, 3; 655-669
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On a problem of Matkowski
Autorzy:
Daróczy, Zoltán
Maksa, Gyula
Powiązania:
https://bibliotekanauki.pl/articles/965981.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
functional equation
quasi-arithmetic mean
convexity
Opis:
We solve Matkowski's problem for strictly comparable quasi-arithmetic means.
Źródło:
Colloquium Mathematicum; 1999, 82, 1; 117-123
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the invertibility of isometric semigroup representations
Autorzy:
Batty, C. J. K.
Greenfield, D.
Powiązania:
https://bibliotekanauki.pl/articles/1290204.pdf
Data publikacji:
1994
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
semigroup
isometric representation
spectrum
polynomial convexity
Opis:
Let T be a representation of a suitable abelian semigroup S by isometries on a Banach space. We study the spectral conditions which will imply that T(s) is invertible for each s in S. On the way we analyse the relationship between the spectrum of T, Sp(T,S), and its unitary spectrum $Sp_{u}(T,S)$. For $S = ℤ^{n}_{+}$ or $ℝ^{n}_{+}$, we establish connections with polynomial convexity.
Źródło:
Studia Mathematica; 1994, 110, 3; 235-250
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Probabilistic characterization of strong convexity
Autorzy:
Rajba, T.
Wąsowicz, S.
Powiązania:
https://bibliotekanauki.pl/articles/255667.pdf
Data publikacji:
2011
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
convexity
strong convexity
Jensen's inequality
Jensen gap of a function
distribution of a random variable
variance
Opis:
Strong convexity is considered for real functions defined on a real interval. Probabilistic characterization is given and its geometrical sense is explained. Using this characterization some inequalities of Jensen-type are obtained.
Źródło:
Opuscula Mathematica; 2011, 31, 1; 97-103
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
n-ary transit functions in graphs
Autorzy:
Changat, Manoj
Mathews, Joseph
Peterin, Iztok
Narasimha-Shenoi, Prasanth
Powiązania:
https://bibliotekanauki.pl/articles/744106.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
n-arity
transit function
betweenness
Steiner convexity
Opis:
n-ary transit functions are introduced as a generalization of binary (2-ary) transit functions. We show that they can be associated with convexities in natural way and discuss the Steiner convexity as a natural n-ary generalization of geodesicaly convexity. Furthermore, we generalize the betweenness axioms to n-ary transit functions and discuss the connectivity conditions for underlying hypergraph. Also n-ary all paths transit function is considered.
Źródło:
Discussiones Mathematicae Graph Theory; 2010, 30, 4; 671-685
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Immunization and convex interest rate shifts
Autorzy:
Barber, J. R.
Powiązania:
https://bibliotekanauki.pl/articles/206488.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
immunization
yield curve
linear factor model
convexity
Opis:
An important issue in immunization theory is the form of the interest rate process under which immunization is feasible. This paper generalizes Fisher and Weil immunization result to convex interest rate shifts, and examines the practical significance of this generalization. We examine the features of a linear factor model that are consistent with a convex shift. In particular, we show that a specific two factor linear model is sufficient and necessary for a convex shift. This two factor specification allows parallel and damped yield curve shifts, which in combination can twist the yield curie.
Źródło:
Control and Cybernetics; 2013, 42, 1; 259-266
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Information-type divergence when the likelihood ratios are bounded
Autorzy:
Rukhin, Andrew
Powiązania:
https://bibliotekanauki.pl/articles/1339144.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
information measures
multiple decisions
convexity
likelihood ratio
Opis:
The so-called ϕ-divergence is an important characteristic describing "dissimilarity" of two probability distributions. Many traditional measures of separation used in mathematical statistics and information theory, some of which are mentioned in the note, correspond to particular choices of this divergence. An upper bound on a ϕ-divergence between two probability distributions is derived when the likelihood ratio is bounded. The usefulness of this sharp bound is illustrated by several examples of familiar ϕ-divergences. An extension of this inequality to ϕ-divergences between a finite number of probability distributions with pairwise bounded likelihood ratios is also given.
Źródło:
Applicationes Mathematicae; 1996-1997, 24, 4; 415-423
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Continuous selections and approximations in α-convex metric spaces
Autorzy:
Kowalska, A.
Powiązania:
https://bibliotekanauki.pl/articles/729415.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
generalized convexity
selections
relative selections
graph-approximations
Opis:
In the paper, the notion of a generalized convexity was defined and studied from the view-point of the selection and approximation theory of set-valued maps. We study the simultaneous existence of continuous relative selections and graph-approximations of lower semicontinuous and upper semicontinuous set-valued maps with α-convex values having nonempty intersection.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2007, 27, 2; 265-294
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Rotundity, smoothness and duality
Autorzy:
Penot, J.-P.
Powiązania:
https://bibliotekanauki.pl/articles/970589.pdf
Data publikacji:
2003
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
sprzężoność
wypukłość
sprzężenie
dwoistość
estymacja
wypukłość uogólniona
gładkość
conjugacy
convexity
coupling
duality
estimates
generalized convexity
rotundity
smoothness
subdifferential
Opis:
The duality between smoothness and rotundity of functions is studied in a nonlinear abstract framework. Here smoothness is enlarged to subdifferentiability properties and rotundity is formulated by means of approximation properties.
Źródło:
Control and Cybernetics; 2003, 32, 4; 711-733
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Some Convexity properties in Musielak-Orlicz sequence spaces endowed with the Luxemburg Norm
Autorzy:
Saejung, Satit
Powiązania:
https://bibliotekanauki.pl/articles/745280.pdf
Data publikacji:
2005
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
k-strict convexity
uniform convexity in every direction
property K
property H
and property G
Musielak-Orlicz sequence space
Opis:
Criteria for k-strict convexity, uniform convexity in every direction, property K, property H, and property G in Musielak-Orlicz sequence spaces and their subspaces endowed with the Luxemburg norm are presented. In particular, we obtain a characterization of such properties of Nakano sequence spaces.
Źródło:
Commentationes Mathematicae; 2005, 45, 1
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On Kaluza’s sign criterion for reciprocal power series
Autorzy:
Baricz, Arpad
Vesti, Jetro
Vuorinen, Matti
Powiązania:
https://bibliotekanauki.pl/articles/746996.pdf
Data publikacji:
2011
Wydawca:
Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
Tematy:
Power series
log-convexity
hypergeometric functions
trigonometric functions
Opis:
T. Kaluza has given a criterion for the signs of the power series of a function that is the reciprocal of another power series. In this note the sharpness of this condition is explored and various examples in terms of the Gaussian hypergeometric series are given. A criterion for the monotonicity of the quotient of two power series due to M. Biernacki and J. Krzyż is applied.
Źródło:
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica; 2011, 65, 2
0365-1029
2083-7402
Pojawia się w:
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The equality case in some recent convexity inequalities
Autorzy:
Maksa, G.
Pales, Z.
Powiązania:
https://bibliotekanauki.pl/articles/254943.pdf
Data publikacji:
2011
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
generalized convexity
affine functions
functional equations
extension theorem
Opis:
In this paper, we investigate a functional equation related to some recently introduced and investigated convexity type inequalities.
Źródło:
Opuscula Mathematica; 2011, 31, 2; 269-277
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Some applications of a new integral formula for $∂̅_{b}$
Autorzy:
Barkatou, Moulay
Powiązania:
https://bibliotekanauki.pl/articles/1294172.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
CR manifold
tangential Cauchy-Riemann equations
q-convexity
Opis:
Let M be a smooth q-concave CR submanifold of codimension k in $ℂ^n$. We solve locally the $∂̅_{b}$-equation on M for (0,r)-forms, 0 ≤ r ≤ q-1 or n-k-q+1 ≤ r ≤ n-k, with sharp interior estimates in Hölder spaces. We prove the optimal regularity of the $∂̅_{b}$-operator on (0,q)-forms in the same spaces. We also obtain $L^p$ estimates at top degree. We get a jump theorem for (0,r)-forms (r ≤ q-2 or r ≥ n-k-q+1) which are CR on a smooth hypersurface of M. We prove some generalizations of the Hartogs-Bochner-Henkin extension theorem on 1-concave CR manifolds.
Źródło:
Annales Polonici Mathematici; 1998, 70, 1; 1-24
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Hyperbolically convex functions
Autorzy:
Ma, Wancang
Minda, David
Powiązania:
https://bibliotekanauki.pl/articles/1311659.pdf
Data publikacji:
1994
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
hyperbolic convexity
distortion theorem
growth thoerem
linear invariance
Opis:
We investigate univalent holomorphic functions f defined on the unit disk such that f() is a hyperbolically convex subset of ; there are a number of analogies with the classical theory of (euclidean) convex univalent functions. A subregion Ω of is called hyperbolically convex (relative to hyperbolic geometry on ) if for all points a,b in Ω the arc of the hyperbolic geodesic in connecting a and b (the arc of the circle joining a and b which is orthogonal to the unit circle) lies in Ω. We give several analytic characterizations of hyperbolically convex functions. These analytic results lead to a number of sharp consequences, including covering, growth and distortion theorems and the precise upper bound on |f''(0)| for normalized (f(0) = 0 and f'(0) > 0) hyperbolically convex functions. In addition, we find the radius of hyperbolic convexity for normalized univalent functions mapping into itself. Finally, we suggest an alternate definition of "hyperbolic linear invariance" for locally univalent functions f: → that parallels earlier definitions of euclidean and spherical linear invariance.
Źródło:
Annales Polonici Mathematici; 1994-1995, 60, 1; 81-100
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Hyperbolically convex functions II
Autorzy:
Ma, William
Minda, David
Powiązania:
https://bibliotekanauki.pl/articles/1294054.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
hyperbolic convexity
two-variable characterization
Schwarzian derivative
distortion theorem
Opis:
Unlike those for euclidean convex functions, the known characterizations for hyperbolically convex functions usually contain terms that are not holomorphic. This makes hyperbolically convex functions much harder to investigate. We give a geometric proof of a two-variable characterization obtained by Mejia and Pommerenke. This characterization involves a function of two variables which is holomorphic in one of the two variables. Various applications of the two-variable characterization result in a number of analogies with the classical theory of euclidean convex functions. In particular, we obtain a uniform upper bound on the Schwarzian derivative. We also obtain the sharp lower bound on |f'(z)| for all z in the unit disk, and the sharp upper bound on |f'(z)| when |z| ≤ √2 - 1.
Źródło:
Annales Polonici Mathematici; 1999, 71, 3; 273-285
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A characterization of convex φ-functions
Autorzy:
Micherda, B.
Powiązania:
https://bibliotekanauki.pl/articles/255999.pdf
Data publikacji:
2012
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
inequalities
modulars
Orlicz-Musielak spaces
convexity
isotonicity
projections
antiprojections
Opis:
The properties of four elements (LPFE) and (UPFE), introduced by Isac and Persson, have been recently examined in Hilbert spaces, Lp-spaces and modular spaces. In this paper we prove a new theorem showing that a modular of form ρφ(∫)= ∫ Ω φ (t,/∫(t)/)dμ(t) satisfies both (LPFE) and (UPFE) if and only if φ is convex with respect to its second variable. A connection of this result with the study of projections and antiprojections onto latticially closed subsets of the modular space Lφ is also discussed.
Źródło:
Opuscula Mathematica; 2012, 32, 1; 171-178
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Construction of a k-immunization strategy with the highest convexity
Autorzy:
Zaremba, L.
Powiązania:
https://bibliotekanauki.pl/articles/206561.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
immunizacja
wypukłość
convexity
immunization
K-T conditions
unanticipated return
Opis:
Assuming that interest rate shocks are proportional to their values plus one, we prove in Theorem 1 the existence of and construct a portfolio Z[sup *] with the highest convexity in the class of portfolios that solve the immunization problem to meet the liability to pay C dollars K years from now. Z[sup *] appears to be a barbell strategy with two zero-coupon bonds with the shorest and the longest maturities. This intuitively clear result has been obtained here in a rigorous way by means of the K-T conditions. In addition, we show that our result is stricly related to the problem of maximization of the unanticipated rate of return on a portfolio solving the above immunization problem (Theorem 2). Two more results concerning the unanticipated return after K years are provided with proofs. An example illustrating the role of convexity in maximization of the unanticipated return is included. Despite the fact that there exists a pretty vast literature on bond portfolio strategies, the present paper offers a new methodological approach to this area (see Ingersoll, Skelton, Weil, 1978).
Źródło:
Control and Cybernetics; 1998, 27, 1; 135-144
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Recognizing weighted directed cartesian graph bundles
Autorzy:
Zmazek, Blaz
Zerovnik, Janez
Powiązania:
https://bibliotekanauki.pl/articles/743682.pdf
Data publikacji:
2000
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
graph bundles
Cartesian graph product
weighted digraphs
half-convexity
Opis:
In this paper we show that methods for recognizing Cartesian graph bundles can be generalized to weighted digraphs. The main result is an algorithm which lists the sets of degenerate arcs for all representations of digraph as a weighted directed Cartesian graph bundle over simple base digraphs not containing transitive tournament on three vertices. Two main notions are used. The first one is the new relation $^→δ*$defined among the arcs of a digraph as a weighted directed analogue of the well-known relation δ*. The second one is the concept of half-convex subgraphs. A subgraph H is half-convex in G if any vertex x ∈ G∖H has at most one predecessor and at most one successor.
Źródło:
Discussiones Mathematicae Graph Theory; 2000, 20, 1; 39-56
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Selection theorems for stochastic set-valued integrals
Autorzy:
Kisielewicz, Michał
Powiązania:
https://bibliotekanauki.pl/articles/729908.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
stochastic set-valued integrals
nonanticipated stochastic processes
diagonal convexity
selections
Opis:
Some special selections theorems for stochastic set-valued integrals with respect to the Lebesgue measure are given.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2001, 21, 1; 63-75
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Group Decision Making Problem by General Convexity or Concavity and Aggregation Process
Autorzy:
Pękala, B.
Powiązania:
https://bibliotekanauki.pl/articles/950993.pdf
Data publikacji:
2016
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
aggregation function
interval-valued fuzzy sets
S-convexity
T-concavity
Opis:
The averaging aggregation operators are defined and some interesting properties are derived. Moreover, we have extended concave and convex property. The main results concerning aggregation of generalized quasiconcave and quasiconvex functions are presented and some their properties are derived and discussed. The class of concavity and convexity of two variable aggregation operators that preserve these properties are studied.
Źródło:
Journal of Automation Mobile Robotics and Intelligent Systems; 2016, 10, 4; 62-69
1897-8649
2080-2145
Pojawia się w:
Journal of Automation Mobile Robotics and Intelligent Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Energy Efficiency Optimization by Spectral Efficiency Maximization in 5G Networks
Autorzy:
Krasniqi, B.
Rexha, B.
Maloku, B.
Powiązania:
https://bibliotekanauki.pl/articles/226636.pdf
Data publikacji:
2018
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
energy efficiency
5G
radio resources
power allocation
optimization convexity
Opis:
Energy and spectral efficiency are the main challenges in 5th generation of mobile cellular networks. In this paper, we propose an optimization algorithm to optimize the energy efficiency by maximizing the spectral efficiency. Our simulation results show a significant increase in terms of spectral efficiency as well as energy efficiency whenever the mobile user is connected to a low power indoor base station. By applying the proposed algorithm, we show the network performance improvements up to 9 bit/s/Hz in spectral efficiency and 20 Gbit/Joule increase in energy efficiency for the mobile user served by the indoor base station rather than by the outdoor base station.
Źródło:
International Journal of Electronics and Telecommunications; 2018, 64, 4; 497-503
2300-1933
Pojawia się w:
International Journal of Electronics and Telecommunications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Median and quasi-median direct products of graphs
Autorzy:
Brešar, Boštjan
Jha, Pranava
Klavžar, Sandi
Zmazek, Blaž
Powiązania:
https://bibliotekanauki.pl/articles/744332.pdf
Data publikacji:
2005
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
median graph
direct product
quasi-median graph
isometric embeddings
convexity
Opis:
Median graphs are characterized among direct products of graphs on at least three vertices. Beside some trivial cases, it is shown that one component of G×P₃ is median if and only if G is a tree in that the distance between any two vertices of degree at least 3 is even. In addition, some partial results considering median graphs of the form G×K₂ are proved, and it is shown that the only nonbipartite quasi-median direct product is K₃×K₃.
Źródło:
Discussiones Mathematicae Graph Theory; 2005, 25, 1-2; 183-196
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Compactness and countable compactness in weak topologies
Autorzy:
Kirk, W. A.
Powiązania:
https://bibliotekanauki.pl/articles/1289854.pdf
Data publikacji:
1995
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
weak topologies
compactness
countable compactness
quasi-normal structure
convexity structures
Opis:
A bounded closed convex set K in a Banach space X is said to have quasi-normal structure if each bounded closed convex subset H of K for which diam(H) > 0 contains a point u for which ∥u-x∥ < diam(H) for each x ∈ H. It is shown that if the convex sets on the unit sphere in X satisfy this condition (which is much weaker than the assumption that convex sets on the unit sphere are separable), then relative to various weak topologies, the unit ball in X is compact whenever it is countably compact.
Źródło:
Studia Mathematica; 1994-1995, 112, 3; 243-250
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimality conditions for a set-valued optimization problem in terms of approximations
Autorzy:
Gadhi, Nazih Abderrazzak
Rahou, Fatima Zahra
El Idrissi, Mohammed
Powiązania:
https://bibliotekanauki.pl/articles/1839139.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
approximation
weak Paretominimal point
A-pseudo-convexity
A-quasi-invexity
Opis:
In this paper, we are concerned with a constrained set-valued optimization problem (P). Using support functions, we give necessary optimality conditions in terms of Karush-Kuhn-Tucker (KKT) multipliers and approximations. Under generalized convex- ity, we investigate sufficient optimality conditions. An example illustrating our findings is also given.
Źródło:
Control and Cybernetics; 2019, 48, 3; 439-452
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
(s,S)-type policy for a production inventory problem with limited backlogging and with stockouts
Autorzy:
Rempała, Ryszarda
Powiązania:
https://bibliotekanauki.pl/articles/1339233.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
(s,S)-policy
inventory
dynamic programming
limited backlogging
k-convexity
Opis:
A production inventory problem with limited backlogging and with stockouts is described in a discrete time, stochastic optimal control framework with finite horizon. It is proved by dynamic programming methods that an optimal policy is of (s,S)-type. This means that in every period the policy is completely determined by two fixed levels of the stochastic inventory process considered.
Źródło:
Applicationes Mathematicae; 1996-1997, 24, 3; 343-354
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On relations among the generalized second-order directional derivatives
Autorzy:
Pastor, Karel
Powiązania:
https://bibliotekanauki.pl/articles/729322.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
generalized second-order directional derivative
convexity
second-order optimality conditions
Opis:
In the paper, we deal with the relations among several generalized second-order directional derivatives. The results partially solve the problem which of the second-order optimality conditions is more useful.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2001, 21, 2; 235-247
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Some Structures Related to Metric Projections in Orlicz Spaces
Autorzy:
Lin, Bor-Luh
Shi, Zhongrui
Powiązania:
https://bibliotekanauki.pl/articles/965901.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Orlicz function spaces
C-I property
C-III property
locally uniform convexity
Luxemburg norm
k-nearly uniform convexity
C-k-rotundity
nearly uniform convexity
weak k-rotundity
weak C-k-rotundity
k-β property
C-II property
k-rotundity
Opis:
We discuss k-rotundity, weak k-rotundity, C-k-rotundity, weak C-k-rotundity, k-nearly uniform convexity, k-β property, C-I property, C-II property, C-III property and nearly uniform convexity both pointwise and global in Orlicz function spaces equipped with Luxemburg norm. Applications to continuity for the metric projection at a given point are given in Orlicz function spaces with Luxemburg norm.
Źródło:
Colloquium Mathematicum; 1999, 81, 2; 223-235
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On invariant domains of holomorphy
Autorzy:
Sergeev, A.
Powiązania:
https://bibliotekanauki.pl/articles/1360090.pdf
Data publikacji:
1995
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
complexification
orbit connectedness
orbit convexity
extended future tube
matrix Reinhardt domains
Źródło:
Banach Center Publications; 1995, 31, 1; 349-357
0137-6934
Pojawia się w:
Banach Center Publications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Baire measurability of \((M,N)\)-Wright convex functions
Autorzy:
Lewicki, Michał
Powiązania:
https://bibliotekanauki.pl/articles/746698.pdf
Data publikacji:
2008
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Wright convexity
functional inequalities
regularity property
Baire measurable functions
continuous functions
Opis:
Let \(I \subset \mathbb{R}\) be an open interval and \(M, N \colon I^2 \to I\) be means on \(I\). Let \(\varphi\colon I \to \mathbb{R}\) be a solution of the functional equation \[ \varphi(M (x, y)) + \varphi(N (x, y)) = \varphi(x) + \varphi(y),\quad x, y \in I \] We give sufficient conditions on \(M, N\) and the function \(\varphi\) such that for every Baire measurable solution \(f \colon I \to \mathbb{R}\) of the functional inequality \[ f (M (x, y)) + f (N (x, y)) \leq f (x) + f (y),\quad x, y \in I, \] the function \(f \circ \varphi^{-1} \colon \varphi(I) \to \mathbb{R}\) is convex.
Źródło:
Commentationes Mathematicae; 2008, 48, 1
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Characterization of the uniform convexity of the Besicovitch-Musielak-Orlicz spaces of almost periodic functions
Autorzy:
Morsli, Mohamed
Smaali, Mannal
Powiązania:
https://bibliotekanauki.pl/articles/746572.pdf
Data publikacji:
2006
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Besicovitch-Orlicz space
Musielak-Orlicz space
almost periodic functions
uniform convexity
Opis:
We introduce the new class of Besicovitch-Musielak-Orlicz spaces of almost periodic functions \(B_{\text{a.p.}}^\varphi\). The uniform convexity of this space is characterized in terms of it's generating functional \(\varphi\).
Źródło:
Commentationes Mathematicae; 2006, 46, 2
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Harmonic mappings in the exterior of the unit disk
Autorzy:
Gregorczyk, Magdalena
Widomski, Jarosław
Powiązania:
https://bibliotekanauki.pl/articles/747049.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
Tematy:
Harmonic mapping
meromorphic
quasiconformal extension
radius of convexity
radius of univalence
Opis:
In this paper we consider a class of univalent orientation-preserving harmonic functions defined on the exterior of the unit disk which satisfy the condition\(\sum_{n=1}^{\infty}n^{p}(|a_{n}|+|b_{n}|)\leq 1\). We are interested in finding radius of univalence and convexity for such class and we find extremal functions. Convolution, convex combination, and explicit quasiconformal extension for this class are also determined.
Źródło:
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica; 2010, 54, 1
0365-1029
2083-7402
Pojawia się w:
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Minimal trees and monophonic convexity
Autorzy:
Cáceres, Jose
Oellermann, Ortrud
Puertas, M.
Powiązania:
https://bibliotekanauki.pl/articles/743292.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
minimal trees
monophonic intervals of sets
k-monophonic convexity
convex geometries
Opis:
Let V be a finite set and a collection of subsets of V. Then is an alignment of V if and only if is closed under taking intersections and contains both V and the empty set. If is an alignment of V, then the elements of are called convex sets and the pair (V, ) is called an alignment or a convexity. If S ⊆ V, then the convex hull of S is the smallest convex set that contains S. Suppose X ∈ ℳ. Then x ∈ X is an extreme point for X if X∖{x} ∈ ℳ. A convex geometry on a finite set is an aligned space with the additional property that every convex set is the convex hull of its extreme points. Let G = (V,E) be a connected graph and U a set of vertices of G. A subgraph T of G containing U is a minimal U-tree if T is a tree and if every vertex of V(T)∖U is a cut-vertex of the subgraph induced by V(T). The monophonic interval of U is the collection of all vertices of G that belong to some minimal U-tree. Several graph convexities are defined using minimal U-trees and structural characterizations of graph classes for which the corresponding collection of convex sets is a convex geometry are characterized.
Źródło:
Discussiones Mathematicae Graph Theory; 2012, 32, 4; 685-704
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the strict convexity of Besicovitch-Musielak-Orlicz spaces of almost periodic functions equipped with the Orlicz norm
Autorzy:
Daoui, A.
Morsli, M.
Smaali, M.
Powiązania:
https://bibliotekanauki.pl/articles/744947.pdf
Data publikacji:
2013
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Besicovitch-Orlicz spaces, Musielak-Orlicz spaces,almost periodic functions, uniform convexity
Opis:
We characterize the strict convexity of Besicovitch-Musielak-Orlicz spaces of almost periodic functions, when it is equipped with the Orlicz norm. It is shown that this property is equivalent to the strict convexity of the Musielak-Orlicz function generating the space.
Źródło:
Commentationes Mathematicae; 2013, 53, 2
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
L*-operators of convexity
Autorzy:
Kulpa, Władysław
Powiązania:
https://bibliotekanauki.pl/articles/747731.pdf
Data publikacji:
2015
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
L*-operator, simplex, convexity, L-convexity, fixed points, Nash's Equilibrium Theorem
L*-operator, sympleks, wypukłosc, L-wypukłosc, twierdzenie Maynarda Smitha, punkty stały, twierdzenie Nasha o równowadze
Opis:
W pracy jest badane pojecie uogólnionej wypukłosci, które umozliwia otrzymanie bardzo prostych dowodów twierdzenia Maynarda Smitha o istnieniu strategii ewolucyjnych w modelach biologicznych oraz twierdzenia o sygnaturach dajacym znaczne rozszerzenia twierdzenia Nasha o równowadze.
A notion of L^*-spaces is investigated as a generalization of convex  subspaces. This gives  some topological extensions  for  celebrated theorems due to  Maynard Smith, Brouwer and Nash.
Źródło:
Mathematica Applicanda; 2015, 43, 2
1730-2668
2299-4009
Pojawia się w:
Mathematica Applicanda
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A modulus for property (β) of Rolewicz
Autorzy:
Ayerbe, J.
Domínguez Benavides, T.
Cutillas, S.
Powiązania:
https://bibliotekanauki.pl/articles/966710.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
property (β)
measures of noncompactness
normal structure
$l^p$-spaces
uniform convexity
Opis:
We define a modulus for the property (β) of Rolewicz and study some useful properties in fixed point theory for nonexpansive mappings. Moreover, we calculate this modulus in $l^p$ spaces for the main measures of noncompactness.
Źródło:
Colloquium Mathematicum; 1997, 73, 2; 183-191
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Dugundji extension theorem and extension degree
Autorzy:
Eda, Katsuya
Powiązania:
https://bibliotekanauki.pl/articles/967053.pdf
Data publikacji:
1995
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
local convexity
extension degree
Graev extension
Dugundji extension theorem
topological linear space
Źródło:
Colloquium Mathematicum; 1995, 68, 1; 25-38
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Second-order optimality conditions in nonsmooth vector optimization
Autorzy:
Yadav, Priyanka
Powiązania:
https://bibliotekanauki.pl/articles/31342762.pdf
Data publikacji:
2023
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
vector optimization
cones
nonsmooth second-order cone-convexity
second-order optimality
duality
Opis:
In this paper, we introduce new classes of nonsmooth second-order cone-convex functions and respective generalizations in terms of first and second-order directional derivative. These classes encapsulate several already existing classes of cone-convex functions and their weaker variants. Second-order KKT type sufficient optimality conditions and duality results for a nonsmooth vector optimization problem are proved using these functions. The results have been supported by examples.
Źródło:
Control and Cybernetics; 2023, 52, 1; 35-51
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Uniformly non-\(l_n^1\) Besicovitch-Orlicz space of almost periodic functions
Autorzy:
Morsli, Mohamed
Boulahia, Fatiha
Powiązania:
https://bibliotekanauki.pl/articles/745324.pdf
Data publikacji:
2005
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Uniformly non-\(l_n^1\)
B-convexity
reflexivity
Besicovitch-Orlicz
almost periodic functions
Opis:
We consider uniformly non-\(l_n^1\) almost periodic functions. It is shown that this property is equivalent to the reflexivity of this space.
Źródło:
Commentationes Mathematicae; 2005, 45, 1
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-50 z 60

Ta witryna wykorzystuje pliki cookies do przechowywania informacji na Twoim komputerze. Pliki cookies stosujemy w celu świadczenia usług na najwyższym poziomie, w tym w sposób dostosowany do indywidualnych potrzeb. Korzystanie z witryny bez zmiany ustawień dotyczących cookies oznacza, że będą one zamieszczane w Twoim komputerze. W każdym momencie możesz dokonać zmiany ustawień dotyczących cookies