Results 31 to 40 of about 580,671 (251)
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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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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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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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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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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Convex Functions and Spacetime Geometry
, 2001 Convexity and convex functions play an important role in theoretical physics. To initiate a study of the possible uses of convex functions in General Relativity, we discuss the consequences of a spacetime $(M,g_{\mu \nu})$ or an initial data set $(\Sigma,
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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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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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Inequalities via generalized log m-convex functions
The Journal of Nonlinear Sciences and Applications, 2017 Summary: The main objective of this paper is to introduce and investigate a new class of convex functions, which is called as generalized \(\log m\)-convex function. Some new Hermite-Hadamard type of integral inequalities via generalized \(\log m\)-convex functions are obtained. Several special cases are also discussed.
Noor, Muhammad Aslam +4 more
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Advances in Difference Equations, 2020 In this paper, we give and study the concept of n-polynomial ( s , m ) $(s,m)$ -exponential-type convex functions and some of their algebraic properties. We prove new generalization of Hermite–Hadamard-type inequality for the n-polynomial ( s , m ) $(s,m)
Saad Ihsan Butt +5 more
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