Results 41 to 50 of about 236,899 (174)
Smoothness Properties of Generalized Convex Functions [PDF]
Proceedings of the American Mathematical Society, 1976 We present a concise and elementary proof of a theorem of Karlin and Studden concerning the smoothness properties of functions belonging to a generalized convexity cone.
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Monotone Riemannian Metrics and Relative Entropy on Non-Commutative Probability Spaces
, 1998 We use the relative modular operator to define a generalized relative entropy for any convex operator function g on the positive real line satisfying g(1) = 0.
Lesniewski, Andrew, Ruskai, Mary Beth
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Advances in Difference Equations, 2020 The present article addresses the concept of p-convex functions on fractal sets. We are able to prove a novel auxiliary result. In the application aspect, the fidelity of the local fractional is used to establish the generalization of Simpson-type ...
Thabet Abdeljawad +4 more
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Generalized Forward-Backward Splitting
, 2012 This paper introduces the generalized forward-backward splitting algorithm for minimizing convex functions of the form $F + \sum_{i=1}^n G_i$, where $F$ has a Lipschitz-continuous gradient and the $G_i$'s are simple in the sense that their Moreau ...
Bricen͂o-Arias L. M. +12 more
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On generalized strongly modified h-convex functions [PDF]
Journal of Inequalities and Applications, 2020 AbstractWe derive some properties and results for a new extended class of convex functions, generalized strongly modified h-convex functions. Moreover, we discuss Schur-type, Hermite–Hadamard-type, and Fejér-type inequalities for this class. The crucial fact is that this extended class has awesome properties similar to those of convex functions.
Taiyin Zhao +4 more
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Generalized Forward-Backward Splitting with Penalization for Monotone Inclusion Problems
, 2014 We introduce a generalized forward-backward splitting method with penalty term for solving monotone inclusion problems involving the sum of a finite number of maximally monotone operators and the normal cone to the nonempty set of zeros of another ...
Andrea Porras-Alfaro (3275619) +4 more
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Operator (p, η)-Convexity and Some Classical Inequalities
Journal of Mathematics, 2020 In this paper, we will introduce the definition of operator p,η-convex functions, we will derive some basic properties for operator p,η-convex function, and also check the conditions under which operations’ function preserves the operator p,η-convexity ...
Chuanjun Zhang +4 more
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Generalized Convex Function and Associated Petrovic’s Inequality
International Journal of Analysis and Applications, 2019 In this paper, Petrovi´c’s inequality is generalized for h−convex functions, when h is supermultiplicative function. It is noted that the case for h−convex functions does not lead the particular cases for P −function, Godunova-Levin functions, s−Godunova-
A. Ur. Rehman +2 more
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Conformable Fractional Integrals Versions of Hermite-Hadamard Inequalities and Their Generalizations
Journal of Function Spaces, 2018 We prove new Hermite-Hadamard inequalities for conformable fractional integrals by using convex function, s-convex, and coordinate convex functions. We prove new Montgomery identity and by using this identity we obtain generalized Hermite-Hadamard type ...
Muhammad Adil Khan +4 more
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Starlikeness and Convexity of Generalized Struve Functions [PDF]
Abstract and Applied Analysis, 2013 We give sufficient conditions for the parameters of the normalized form of the generalized Struve functions to be convex and starlike in the open unit disk.
Nihat Yagmur, Halit Orhan
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