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Wyświetlanie 1-15 z 60
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:
On strongly midconvex functions
Autorzy:
Azocar, A.
Gimenez, J.
Nikodem, K.
Sanchez, J. L.
Powiązania:
https://bibliotekanauki.pl/articles/255623.pdf
Data publikacji:
2011
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
strongly convex functions
strongly midconvex functions
Bernstein-Doetsch--type theorem
Kuhn theorem
Rode support theorem
Beckenbach convexity
Opis:
In this paper we collect some properties of strongly midconvex functions. First, counterparts of the classical theorems of Bernstein-Doetsch, Ostrowski and Sierpiński are presented. A version of Rod é support theorem for strongly midconvex functions and a Kuhn-type result on the relation between strongly midconvex functions and strongly t-convex functions are obtained. Finally, a connection between strong midconvexity and generalized convexity in the sense of Beckenbach is established
Źródło:
Opuscula Mathematica; 2011, 31, 1; 15-26
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
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:
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:
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:
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:
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:
Extreme points of the Besicovitch-Orlicz space of almost periodic functions equipped with Orlicz norm
Autorzy:
Boulahia, Fatiha
Hassaine, Slimane
Powiązania:
https://bibliotekanauki.pl/articles/2049032.pdf
Data publikacji:
2021
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
extreme points
strict convexity
almost periodic functions
Besicovitch-Orlicz spaces of almost periodic functions
Opis:
In the present paper, we give criteria for the existence of extreme points of the Besicovitch-Orlicz space of almost periodic functions equipped with Orlicz norm. Some properties of the set of attainable points of the Amemiya norm in this space are also discussed.
Źródło:
Opuscula Mathematica; 2021, 41, 5; 629-648
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
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:
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:
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:
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:
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:
Banach-Saks property in some Banach sequence spaces
Autorzy:
Cui, Yunan
Hudzik, Henryk
Płuciennik, Ryszard
Powiązania:
https://bibliotekanauki.pl/articles/1310793.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Banach-Saks property
property (β)
nearly uniform convexity
uniform Kadec-Klee property
property (H)
Musielak-Orlicz sequence space
Opis:
It is proved that for any Banach space X property (β) defined by Rolewicz in [22] implies that both X and X* have the Banach-Saks property. Moreover, in Musielak-Orlicz sequence spaces, criteria for the Banach-Saks property, the near uniform convexity, the uniform Kadec-Klee property and property (H) are given.
Źródło:
Annales Polonici Mathematici; 1996-1997, 65, 2; 193-202
0066-2216
Pojawia się w:
Annales Polonici Mathematici
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
Wyświetlanie 1-15 z 60

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