Induction of M-convex functions by linking systems
Discrete Applied Mathematics, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yusuke Kobayashi 0001, Kazuo Murota
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Fractional exponentially \(m\)-convex functions and inequalities
International Journal of Analysis and Applications, 2019 Summary: In this article, we introduce a new class of convex functions involving \(m \in [0, 1]\), which is called exponentially \(m\)-convex function. Some new Hermite-Hadamard inequalities for exponentially \(m\)-convex functions via Reimann-Liouville fractional integral are deduced. Several special cases are discussed.
Saima Rashid +2 more
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Hermite-Hadamard inequality for product of (h1, h2, s)-convex and m-harmonically convex function [PDF]
, 2023 In this paper, a new definition of (m, h1 , h2 , s) -Harmonically convex function is introduced by combining m-convex, 1 2 (h , h ) -convex, s-convex, and harmonically convex function.
Sabir Yasin +5 more
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Convex approximations for complete integer recourse models [PDF]
, 2002 We consider convex approximations of the expected value function of a two-stage integer recourse problem. The convex approximations are obtained by perturbing the distribution of the random right-hand side vector.
Vlerk, Maarten H. van der +2 more
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Convex Analysis for Minimizing and Learning Submodular Set Functions [PDF]
, 2013 The connections between convexity and submodularity are explored, for purposes of minimizing and learning submodular set functions. First, we develop a novel method for minimizing a particular class of submodular functions, which can be expressed as a
Peter Stobbe, Stobbe, Peter
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Companion inequalities to Jensen's inequality for m-convex and (alpha, m)-convex functions
Journal of inequalities in pure and applied mathematics, 2006 General companion inequalities related to Jensen's inequality for the classes of m-convex and (alpha, m)-convex functions are presented. We show how Jensen's inequality for these two classes, as well as Slater's inequality, can be obtained from these general companion inequalities as special cases.
Ribičić Penava, Mihaela +2 more
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Some inequalities for ( h , m ) -convex functions
Journal of Inequalities and Applications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xi, Bo-Yan, Wang, Shu-Hong, Qi, Feng
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Moroccan Journal of Pure and Applied Analysis, 2019 Abstract In this research we lay the concept of log m -convex functions defined on real intervals containing the origin, some algebraic properties are exhibit, in the same token discrete Jensen type inequalities and integral inequalities are set and shown.
Lara Teodoro, Rosales Edgar
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Convex regions in the plane and their domes [PDF]
, 2006 We make a detailed study of the relation of a euclidean convex region $\Omega \subset \mathbb C$ to $\mathrm{Dome} (\Omega)$. The dome is the relative boundary, in the upper halfspace model of hyperbolic space, of the hyperbolic convex hull of the ...
Markovic, V. +3 more
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On Generalizations of the Hadamard Inequality for (α, m)-Convex Functions [PDF]
Kyungpook mathematical journal, 2012 In this paper we establish several Hadamard-type integral inequalities for ( ;m ) convex functions.
Set, Erhan +3 more
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