Results 51 to 60 of about 428,488 (166)

On the extreme points of moments sets [PDF]

Mathematical Methods of Operations Research, 2016
Necessary and sufficient conditions for a measure to be an extreme point of the set of measures (on an abstract measurable space) with prescribed generalized moments are given, as well as an application to extremal problems over such moment sets; these conditions are expressed in terms of atomic partitions of the measurable space. It is also shown that
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Extreme points and rotundity of Orlicz-Sobolev spaces

International Journal of Mathematics and Mathematical Sciences, 2002
It is well known that Sobolev spaces have played essential roles in solving nonlinear partial differential equations. Orlicz-Sobolev spaces are generalized from Sobolev spaces.
Shutao Chen, Changying Hu, Charles Xuejin Zhao   +2 more
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Non-extreme-Points Approach to Extreme Points of Integral Families of Analytic Functions

New Zealand Journal of Mathematics, 2021
Non extreme points of compact, convex integral families of analytic functions are investigated. Knowledge about extreme points provides a valuable tool in the optimization of linear extremal problems. The functions studied are determined by a 2-parameter collection of kernel functions integrated against measures on the torus.
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Extreme and exposed points of L(^n l^2_∞ ) and L_s (^n l^2_∞)

Extracta Mathematicae, 2020
For every n ≥ 2 this paper is devoted to the description of the sets of extreme and exposed points of the closed unit balls of L(n l2∞ ) and Ls(n l2∞ ), where  L(n l2∞ ) is the space of n-linear forms on R2 with the supremum norm, and Ls(n l2∞ ) is the ...
Sung Guen Kim
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Extreme Points and Strongly Extreme Points in Orlicz Spaces Equipped with the Orlicz Norm

Zeitschrift für Analysis und ihre Anwendungen, 2003
Criteria for extreme points and strongly extreme points of the unit ball in Orlicz spaces with the Orlicz norm are given. These results are applied to a characterization of extreme points of B(L^1 + L^\infty) which corresponds to the result obtained by R. Grząślewicz and H.
Cui, Y., Hudzik, H., Płuciennik, R.
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Multiple Objective Linear Programming (MOLP) Problems with the Same Objective Space

Journal of Algorithms & Computational Technology, 2009
Under the linear mapping efficient extreme points in decision space of multiple objectives linear programming (MOLP) may not map to non dominated extreme points in objective space, condition that two or even more multiple objective linear programming ...
S.F. Tantawy, R.H. Sallam
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$R$-CONVEX SUBSETS OF BIMODULES OVER $*$-RINGS [PDF]

Journal of Algebraic Systems
Let $M$ and $N$ be bimodules over the unital $*$-rings $R$ and $B$, respectively.We investigate the notion of $R$-convexity and the corresponding notion of $R$-extreme points.We discuss the effect of an $f$-homomorphism on$R$-convex subsets and its ...
Ismail Nikoufar, Ali Ebrahimi Meymand
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Strongly Extreme Points and Middle Point Locally Uniformly Convex in Orlicz Spaces Equipped with s-Norm

Journal of Function Spaces, 2019
As is well known, the extreme points and strongly extreme points play important roles in Banach spaces. In this paper, the criterion for strongly extreme points in Orlicz spaces equipped with s-norm is given.
Yunan Cui, Yujia Zhan
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Fast Extended One-Versus-Rest Multi-Label Support Vector Machine Using Approximate Extreme Points

IEEE Access, 2017
Existing extended one-versus-rest multi-label support vector machine (OVR-ESVM) adopting non-linear kernel is seriously restricted by excessive training time when it is applied to large-scale data set.
Zhongwei Sun, Zhongwen Guo, Chao Liu, Xupeng Wang, Jing Liu, Shiyong Liu   +5 more
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Some applications of generalized Ruscheweyh derivatives involving a general fractional derivative operator to a class of analytic functions with negative coefficients I [PDF]

Surveys in Mathematics and its Applications, 2010
For certain univalent function f, we study a class of functions f as defined by making use of the generalized Ruscheweyh derivatives involving a general fractional derivative operator, satisfying Re { (zJ1λ, μ f(z))')/((1 -γ) J1λ, μ f(z) + γ z2(J1λ, μ f ...
Waggas Galib Atshan, S. R. Kulkarni
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