Results 41 to 50 of about 343,821 (333)
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 ...
Murota, Kazuo, Shioura, Akiyoshi
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Characterizations of the Solution Sets of Generalized Convex Fuzzy Optimization Problem
Open Mathematics, 2019 This paper provides some new characterizations of the solution sets for non-differentiable generalized convex fuzzy optimization problem. Firstly, we introduce some new generalized convex fuzzy functions and discuss the relationships among them. Secondly,
Chen Wang, Zhou Zhiang
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Journal of Mathematics, 2020 In this paper, we define a new function, namely, harmonically α,h−m-convex function, which unifies various kinds of harmonically convex functions.
Chahn Yong Jung +4 more
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Inequalities of Fejer Type Related to Generalized Convex Functions
, 2018 This paper deals with some Fejer type inequalities related to (η1, η2)-convex functions. In fact the difference between the right and middle part of Fejer inequality is estimated without using Holder’s inequality when the absolute value of the derivative
S. Aslani, M. R. Delavar, S. M. Vaezpour
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Some generalized Hermite–Hadamard–Fejér inequality for convex functions
Advances in Differential Equations, 2021 In this paper, we have established some generalized inequalities of Hermite–Hadamard–Fejér type for generalized integrals. The results obtained are applied for fractional integrals of various type and therefore contain some previous results reported in ...
Miguel J. Vivas-Cortez +2 more
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Some concepts of generalized convex functions (I)
Journal of Numerical Analysis and Approximation Theory, 2002 An extension of the concept of convex function is given in a very general framework provided by a set in which a general convexity for its subsets is defined.
Liana Lupşa, Gabriela Cristescu
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MathematicsIntegral inequalities are very useful in finding the error bounds for numerical integration formulas. In this paper, we prove some multiplicative integral inequalities for first-time differentiable s-convex functions.
Xinlin Zhan +3 more
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Journal of Mathematics, 2021 In this paper, generalized versions of Hadamard and Fejér–Hadamard type fractional integral inequalities are obtained. By using generalized fractional integrals containing Mittag-Leffler functions, some well-known results for convex and harmonically ...
M. Yussouf +3 more
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Hermite-Hadamard type inequalities for generalized convex functions on fractal sets style
, 2018 We aim to establish certain generalized Hermite-Hadamard's inequalities for generalized convex functions via local fractional integral. As special cases of some of the results presented here, certain interesting inequalities involving generalized ...
Muharrem Tomar +2 more
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Hermite-Hadamard-Fejér Inequality Related to Generalized Convex Functions via Fractional Integrals
, 2018 This paper deals with Hermite-Hadamard-Fejer inequality for -convex functions via fractional integrals. Some mid-point and trapezoid type inequalities related to Hermite-Hadamard inequality when the absolute value of derivative of considered function is -
M. R. Delavar +2 more
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