Results 41 to 50 of about 1,126,227 (356)
A note on generalized convex functions
Journal of Inequalities and Applications, 2019 In the article, we provide an example for a η-convex function defined on rectangle is not convex, prove that every η-convex function defined on rectangle is coordinate η-convex and its converse is not true in general, define the coordinate (η1,η2) $(\eta
Syed Zaheer Ullah +2 more
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Extremal Approximately Convex Functions and Estimating the Size of Convex Hulls [PDF]
, 1998 A real valued function $f$ defined on a convex $K$ is anemconvex function iff it satisfies $$ f((x+y)/2) \le (f(x)+f(y))/2 + 1. $$ A thorough study of approximately convex functions is made.
Dilworth, S. J. +2 more
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Journal of Function Spaces, 2020 The aim of this paper is to present the fractional Hadamard and Fejér-Hadamard inequalities for exponentially s,m-convex functions. To establish these inequalities, we will utilize generalized fractional integral operators containing the Mittag-Leffler ...
Shuya Guo +4 more
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Ostrowski type inequalities via some exponentially convex functions with applications
AIMS Mathematics, 2020 In this paper, we obtain ostrowski type inequalities for exponentially convex function and exponentially s-convex function in second sense. Applications to some special means are also obtain. Here we extend the results of some previous investigations.
Naila Mehreen, Matloob Anwar
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AIMS Mathematics, 2020 The main objective of this paper is to compute refinements of bounds of the generalized fractional integral operators containing an extended generalized Mittag-Leffler function in their kernels.
Ghulam Farid +4 more
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Unification of Generalized and p-Convexity
Journal of Function Spaces, 2020 In the present note, we will introduce the definition of generalized p convex function. We will investigate some properties of generalized p convex function.
Chahn Yong Jung +5 more
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The number of directed k-convex polyominoes [PDF]
, 2015 We present a new method to obtain the generating functions for directed convex polyominoes according to several different statistics including: width, height, size of last column/row and number of corners.
Boussicault, Adrien +2 more
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Journal of Mathematics, 2020 In this paper, we define a new function, namely, harmonically α,h−m-convex function, which unifies various kinds of harmonically convex functions.
Chahn Yong Jung +4 more
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On entropic quantities related to the classical capacity of infinite dimensional quantum channels
, 2004 In this paper we consider the $\chi$-function (the Holevo capacity of constrained channel) and the convex closure of the output entropy for arbitrary infinite dimensional channel.
Shirokov, M. E.
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Discrete Fenchel Duality for a Pair of Integrally Convex and Separable Convex Functions [PDF]
arXiv, 2021 Discrete Fenchel duality is one of the central issues in discrete convex analysis. The Fenchel-type min-max theorem for a pair of integer-valued M-natural-convex functions generalizes the min-max formulas for polymatroid intersection and valuated matroid intersection.
arxiv