A note on M-convex functions on jump systems
Discrete Applied Mathematics, 2021 A jump system is defined as a set of integer points (vectors) with a certain exchange property, generalizing the concepts of matroids, delta-matroids, and base polyhedra of integral polymatroids (or submodular systems). A discrete convexity concept is defined for functions on constant-parity jump systems and it has been used in graph theory and algebra.
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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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M φ M ψ $M_{\varphi}M_{\psi}$ -convexity and separation theorems
Journal of Inequalities and Applications, 2022 A characterization of pairs of functions that can be separated by an M φ M ψ $M_{\varphi}M_{\psi}$ -convex function and related results are obtained. Also, a Hyers–Ulam stability result for M φ M ψ $M_{\varphi}M_{\psi}$ -convex functions is given.
Mea Bombardelli, Sanja Varošanec
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On some integral inequalities for $(h,m)$-convex functions in a generalized framework
Karpatsʹkì Matematičnì Publìkacìï, 2023 In this paper, we present some new integral inequalities of Hermite-Hadamard type. To obtain these results, general convex functions of various type are considered such as $(h,m)$-convex functions.
P. Kórus, J.E. Nápoles Valdés
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A General-Purpose Multi-Dimensional Convex Landscape Generator
Mathematics, 2022 Heuristic and evolutionary algorithms are proposed to solve challenging real-world optimization problems. In the evolutionary community, many benchmark problems for empirical evaluations of algorithms have been proposed. One of the most important classes
Wenwen Liu +3 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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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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Hessian measures in the class of m-convex (m - cv) functions
Қарағанды университетінің хабаршысы. Математика сериясыThe theory of m-convex (m − cv) functions is a new direction in the real geometry. In this work, by using the connection m − cv functions with strongly m-subharmonic (shm) functions and using well-known and rich properties of shm functions, we show a ...
M.B. Ismoilov, R.A. Sharipov
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Generalized Petrovic’s Inequalities for Coordinated Exponentially m-Convex Functions
International Journal of Analysis and Applications, 2021 In this paper, we introduce a new class of convex function, which is called coordinated exponentially m-convex functions. Some new Petrovic’s type inequalities for exponentially m-convex functions and coordinated exponentially m-convex functions are ...
Wasim Iqbal +3 more
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Mathematics, 2022 The subject of convex analysis and integral inequalities represents a comprehensive and absorbing field of research within the field of mathematical interpretation.
Muhammad Tariq +5 more
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