Results 21 to 30 of about 28,634,870 (289)
On Some New Inequalities of Hermite-Hadamard-Féjer Type Involving Convex Functions [PDF]
, 2005 In this paper, we establish some inequalities of Hermite-Hadamard- Fejér type for m-convex functions and s-convex ...
Hwang, Shiow-Ru +2 more
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M-Convex Function on Generalized Polymatroid [PDF]
Mathematics of Operations Research, 1999 The concept of M-convex function, introduced by Murota (1996), is a quantitative generalization of the set of integral points in an integral base polyhedron as well as an extension of valuated matroid of Dress and Wenzel (1990). In this paper, we extend this concept to functions on generalized polymatroids with a view to providing a unified framework ...
Kazuo Murota, Akiyoshi Shioura
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On $\mathscr{M}$-convex functions
AIMS Mathematics, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Muhammad Uzair Awan +3 more
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Azerbaijan Journal of Mathematics, 2023 Summary: The theory of \(m\)-convex \((m-cv)\) functions is a new direction in the theory of real geometry. However, for \(m=1\) this class coincides with the class of convex functions, and for \(m=n\) it coincides with the class of subharmonic functions, which, as is known, have been well studied (A. Aleksandrov, I. Bakelman, A.
Sharipov, R. A., Ismoilov, M. B.
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The most important inequalities of $m$-convex functions [PDF]
TURKISH JOURNAL OF MATHEMATICS, 2017 The intention of this article is to investigate the most important inequalities of m-convex functions without using their derivatives. The article also provides a brief survey of general properties of m-convex functions.
Pavić, Zlatko, Avci Ardiç, Merve
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Quotients of M-convex sets and M-convex functions [PDF]
Combinatorial TheoryWe unify the study of quotients of matroids, polymatroids, valuated matroids and strong maps of submodular functions in the framework of Murota's discrete convex analysis. As a main result, we compile a list of ten equivalent characterizations of quotients for M-convex sets, generalizing existing formulations for (poly)matroids and submodular functions.
Brandenburg, Marie-Charlotte +2 more
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Advances in Difference Equations, 2021 Under the new concept of s- ( α , m ) $(\alpha,m)$ -convex functions, we obtain some new Hermite–Hadamard inequalities with an s- ( α , m ) $(\alpha,m)$ -convex function.
R. N. Liu, Run Xu
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Compression of M♮-convex functions -- Flag matroids and valuated permutohedra [PDF]
, 2022 Murota (1998) and Murota and Shioura (1999) introduced concepts of M-convex function and M♮-convex function as discrete convex functions, which are generalizations of valuated matroids due to Dress and Wenzel (1992).
Hiroshi Hirai +3 more
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Sandwich theorem for m-convex functions
Journal of Mathematical Analysis and Applications, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Matkowski, Janusz, Wróbel, Małgorzata
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Study of fractional integral inequalities involving Mittag-Leffler functions via convexity
Journal of Inequalities and Applications, 2020 This paper studies fractional integral inequalities for fractional integral operators containing extended Mittag-Leffler (ML) functions. These inequalities provide upper bounds of left- and right-sided fractional integrals for ( α , h − m ) $(\alpha, h-m)
Zhihua Chen +4 more
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