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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:
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:
A new reciprocal Rayleigh extension: properties, copulas, different methods of estimation and a modified right-censored test for validation
Autorzy:
Yousof, Haitham M.
Ali, M. Masoom
Goual, Hafida
Ibrahim, Mohamed
Powiązania:
https://bibliotekanauki.pl/articles/1827545.pdf
Data publikacji:
2021-09-06
Wydawca:
Główny Urząd Statystyczny
Tematy:
Xgamma model
reciprocal Rayleigh model
simulations
bootstrapping
Farlie Gumbel Morgenstern copula
least squares
Cramer-Von-Mises
Ali-Mikhail-Haq copula
convexity
concavi
Opis:
In this article, a new reciprocal Rayleigh extension called the Xgamma reciprocal Rayleigh model is defined and studied. The relevant statistical properties are derived, and the useful results related to the convexity and concavity are addressed. We discussed the estimation of the parameters using different estimation methods such as the maximum likelihood estimation method, the ordinary least squares estimation method, the weighted least squares estimation method, the Cramer-Von-Mises estimation method, and the bootstrapping method. A simulation study was conducted to assess the performances of the proposed estimation methods are investigated through a simulation study. Many bivariate and multivariate type model have also been derived based on Farlie-Gumbel-Morgenstern copula, the Clayton copula, Renyi's entropy copula and the Ali-Mikhail-Haq copula. A modified Nikulin-Rao-Robson test for right-censored validation is applied to a censored real data set.
Źródło:
Statistics in Transition new series; 2021, 22, 3; 99-121
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An O(mn2) Algorithm for Computing the Strong Geodetic Number in Outerplanar Graphs
Autorzy:
Mezzini, Mauro
Powiązania:
https://bibliotekanauki.pl/articles/32317585.pdf
Data publikacji:
2022-05-01
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
outerplanar graph
strong geodetic set
strong geodetic number
geodetic set
geodetic number
geodesic convexity
Opis:
Let $ G = (V (G), E(G)) $ be a graph and $S$ be a subset of vertices of $G$. Let us denote by $ \gamma [u, v] $ a geodesic between $u$ and $v$. Let $ \Gamma(S) = \{ γ [ v_i, v_j ] | v_i, v_j \in S} $ be a set of exactly $ |S|(|S|−1) // 2 $ geodesics, one for each pair of distinct vertices in $S$. Let \( V ( \Gamma (S)) = \bigcup_{ \gamma [x,y] \in \Gamma (S) } V ( \gamma [x, y]) \) be the set of all vertices contained in all the geodesics in $ \Gamma (S) $. If $ V ( \Gamma (S)) = V (G) $ for some $ \Gamma (S) $, then we say that $S$ is a strong geodetic set of $G$. The cardinality of a minimum strong geodetic set of a graph is the strong geodetic number of $G$. It is known that it is NP-hard to determine the strong geodetic number of a general graph. In this paper we show that the strong geodetic number of an outerplanar graph can be computed in polynomial time.
Źródło:
Discussiones Mathematicae Graph Theory; 2022, 42, 2; 591-599
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
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:
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:
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:
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:
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:
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:
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:
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:
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:
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:
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
Wyświetlanie 1-15 z 60

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