Results 251 to 260 of about 27,180,813 (283)

Hadamard type inequalities for m-convex and (α , m)-convex functions [PDF]

Journal of inequalities in pure and applied mathematics, 2008
In this paper we establish several Hadamard type inequalities for differentiable m-convex and (α , m)-convex functions. We also establish Hadamard type inequalities for products of two m-convex or (α , m)-convex functions. Our results generalize some results of B.G. Pachpatte as well as some results of C.E.M. Pearce and J. Pečarić.
ÖZDEMİR, MUHAMET EMİN, Pecaric, Josip, Bakula, MK   +2 more
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M-convex functions and tree metrics

Japan Journal of Industrial and Applied Mathematics, 2004
The authors show that the coefficient matrix of a quadratic \(M\)-convex function can be expressed by the distance matrix of some tree metric and emphasize the tree representation of a quadratic \(M\)-convex function. \textit{A. Dress}, \textit{V. Moulton} and \textit{W. Terhalle} [Eur. J. Comb. 17, No.
Hirai, Hiroshi, Murota, Kazuo
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A generalization of midpoint inequality of m-convex functions

AIP Conference Proceedings, 2016
In this paper, some new integral inequalities will be given using generalized Hermite-Hadamard’s type integral inequalities holding for m–convex functions. Our results presented here would provide extensions of those given in earlier works.
Kiris, Mehmet Eyup, Caltiner, Naki
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Operations on M‐Convex Functions on Jump Systems

SIAM Journal on Discrete Mathematics, 2007
A jump system is a set of integer points with an exchange property, which is a generalization of a matroid, a delta-matroid, and a base polyhedron of an integral polymatroid (or a submodular system). Recently, the concept of M-convex functions on constant-parity jump systems was introduced by Murota as a class of discrete convex functions that admit a ...
Yusuke Kobayashi 0001, Kazuo Murota, Ken'ichiro Tanaka   +2 more
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Properties of Exponentially m-Convex Functions

2020
In this paper, we define and introduce some new concepts of the exponentially m-convex functions involving a fixed constant m ∈ (0, 1]. We investigate several properties of the exponentially m-convex functions and discuss their relations with convex functions. Optimality conditions are characterized by a class of variational inequalities.
Muhammad Aslam Noor, Khalida Inayat Noor
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Fejér type inequalities for (h,g;m)-convex functions

Turkic World Mathematical Society (TWMS) Journal of Pure and Applied Mathematics, 2023
Several Hermite-Hadamard and Fejér type inequalities are obtained for the recently introduced new class of (h,g;m)-convex functions. This class unifies a certain range of convexity, thus allowing the generalizations of know results.
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Notes on L-/M-convex functions and the separation theorems

Mathematical Programming, 2000
This paper deals with convexity for discrete functions. A piecewise-convex extension for a class of discrete functions (integer-valued functions defined on integer lattice points) is defined and a function is said to be integrally convex if its piecewise-convex extension is globally convex.
Satoru Fujishige, Kazuo Murota
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The Dirichlet problem in the class of m-convex functions

UZBEK MATHEMATICAL JOURNAL
The well-known classical Dirichlet problem states that if $D\subset {\mathbb R}^{n}$ is a regular domain, then for any continuous function $\varphi (\xi )\in C(\partial D)$, there exists a unique harmonic function $\omega (x)\in C(\overline{D})$, such that $\omega |_{\partial D} =\varphi $.
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ON SOME INTEGRAL INEQUALITIES FOR (s, m)-CONVEX FUNCTIONS

2020
A new identity has been handled in this paper. It allows to derive new inequalities referring to upper estimation of the Jensen functional in the class of (s, m)-convex functions. Also some applications for special means are given by using new inequalities.
Bayraktar, B., Gurbuz, M., Bayraktar, Gökhan, Belirlenecek, [Bayraktar, B.] Uludag Univ, Fac Educ, Gorukle Campus, TR-16059 Bursa, Turkey; [Gurbuz, M.] Ibrahim Cecen Univ Agri, Fac Educ, Dept Math, TR-04100 Agri, Turkey, Gürbüz, Mustafa/E-7700-2018, Bayraktar, Bahtiyar/ABI-7823-2020   +6 more
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Coordinatewise domain scaling algorithm for M-convex function minimization

Mathematical Programming, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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