Results 41 to 50 of about 11,297,589 (365)
On some fractional integral inequalities for generalized strongly modified $h$-convex functions
AIMS Mathematics, 2020 Convex functions play an important role in many areas of mathematics. They are especially important in the study of optimization problems where they are distinguished by a number of convenient properties.
Peiyu Yan +4 more
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Inclusion and Intersection Relations Between Fundamental Classes of Discrete Convex Functions [PDF]
arXiv, 2021 In discrete convex analysis, various convexity concepts are considered for discrete functions such as separable convexity, L-convexity, M-convexity, integral convexity, and multimodularity. These concepts of discrete convex functions are not mutually independent.
arxiv
Modulus of convexity for operator convex functions [PDF]
Journal of Mathematical Physics, 2014 Given an operator convex function f(x), we obtain an operator-valued lower bound for cf(x) + (1 − c)f(y) − f(cx + (1 − c)y), c ∈ [0, 1]. The lower bound is expressed in terms of the matrix Bregman divergence. A similar inequality is shown to be false for functions that are convex but not operator convex.
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On uniformly convex functions [PDF]
Journal of Mathematical Analysis and Applications, 2022 Non-convex functions that yet satisfy a condition of uniform convexity for non-close points can arise in discrete constructions. We prove that this sort of discrete uniform convexity is inherited by the convex envelope, which is the key to obtain other remarkable properties such as the coercivity.
M. Raja, Guillaume Grelier
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Hermite-Hadamard Type Inequalities for the Class of Convex Functions on Time Scale
Mathematics, 2019 We investigate a time scale version of two auxiliary functions for the class of convex functions. We derive several novel dynamic inequalities for these classes of convex functions.
S. Rashid +4 more
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INEQUALITIES OF HERMITE-HADAMARD TYPE FOR HG-CONVEX FUNCTIONS
Проблемы анализа, 2017 Some inequalities of Hermite-Hadamard type for HGconvex functions defined on positive intervals are given. Applications for special means are also provided.
S. S. Dragomir
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Journal of Inequalities and Applications, 2019 In the article, we present several Hermite–Hadamard type inequalities for the co-ordinated convex and quasi-convex functions and give an application to the product of the moment of two continuous and independent random variables.
M. Latif, S. Rashid, S. Dragomir, Y. Chu
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Inequalities of Hermite-Hadamard Type for GG-Convex Functions
Annals of the West University of Timisoara: Mathematics and Computer Science, 2019 Some inequalities of Hermite-Hadamard type for GG-convex functions defined on positive intervals are given. Applications for special means are also provided.
Dragomir S. S.
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On q-Hermite-Hadamard Inequalities for Differentiable Convex Functions
Mathematics, 2019 In this paper, we establish some new results on the left-hand side of the q-Hermite–Hadamard inequality for differentiable convex functions with a critical point. Our work extends the results of Alp et.
Seksan Jhanthanam +3 more
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International Journal of Mathematics and Mathematical Sciences, 1999 In this paper, we give two weak conditions for a lower semi-continuous function on the n-dimensional Euclidean space Rn to be a convex function. We also present some results for convex functions, strictly convex functions, and quasi-convex functions.
Yu-Ru Syau
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