Results 11 to 20 of about 343,821 (333)
Generalized Inequalities for Convex Functions
Journal of Mathematical Extension, 2016 We investigate the fundamental inequalities for convex functions on the bounded closed interval of real numbers. Using the theory of positive linear functionals, we obtain the functional forms of inequalities as generalizations of the well-known inequalities. Our consideration includes the Jensen, Jensen-Mercer, Fejér and Hermite- Hadamard inequality.
Zlatko Pavić
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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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On strongly generalized convex functions
Filomat, 2017 The main objective of this article is to introduce the notion of strongly generalized convex functions which is called as strongly ?-convex functions. Some related integral inequalities of Hermite-Hadamard and Hermite-Hadamard-Fej?r type are also obtained. Special cases are also investigated.
Muhammad Uzair +3 more
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Generalized convex functions and generalized differentials [PDF]
Optimization, 2013 We study some classes of generalized convex functions, using a generalized differential approach. By this we mean a set-valued mapping which stands either for a derivative, a subdifferential or a pseudo-differential in the sense of Jeyakumar and Luc. Such a general framework allows us to avoid technical assumptions related to specific constructions. We
N. T. H. Linh, J. Penot
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Generalized Steffensen Type Inequalities Involving Convex Functions [PDF]
Journal of Function Spaces, 2014 In this paper generalized Steffensen type inequalities related to the class of functions that are “convex at point c” are derived and as a consequence inequalities involving the class of convex functions are obtained.
Josip Pečarić, Ksenija Smoljak Kalamir
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Hermite?Hadamard inequalities for generalized convex functions
Aequationes mathematicae, 2005 Let \(\mathbf{\omega}=(\omega_{1},\ldots,\omega_{n})\) be a Tchebychev system on an interval \([a,b].\) A function \(f:[a,b]\rightarrow\mathbb{R}\) is called generalized \(n\)-convex with respect to \(\mathbf{\omega}\) if for all \(x_{0}
M. Bessenyei, Zsolt P�les
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Generalized s-Convex Functions on Fractal Sets
Abstract and Applied Analysis, 2014 We introduce two kinds of generalized s-convex functions on real linear fractal sets Rα ...
Huixia Mo, Xin Sui
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Journal of Inequalities and Applications, 2020 The aim of this paper is to establish new generalized fractional versions of the Hadamard and the Fejér–Hadamard integral inequalities for harmonically convex functions.
Xiaoli Qiang +4 more
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Generalized r-Convex Functions and Integral Inequalities
International Journal of Analysis and Applications, 2018 In this paper, we introduce and investigate a new class of generalized convex functions, known as generalized $r$-convex function. Some new Hermite-Hadamard integral inequalities via generalized $r$-convex functions have been established.
Muhammad Aslam Noor +2 more
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THE CHARACTERIZATION OF GENERALIZED CONVEX FUNCTIONS [PDF]
The Quarterly Journal of Mathematics, 1953 F. F. Bonsall
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