Inequalities of Hermite-Hadamard Type for h-Convex Functions on Linear Spaces
TLDR
Some inequalities of Hermite-Hadamard type for h-convex functions defined on convex subsets in real or complex linear spaces are given in this article, and applications for norm inequalities are provided as well.Abstract:
Some inequalities of Hermite-Hadamard type for h-convex functions defined on convex subsets in real or complex linear spaces are given. Applications for norm inequalities are provided as well.read more
Citations
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New Jensen and Hermite–Hadamard type inequalities for h -convex interval-valued functions
TL;DR: In this paper, the Jensen and Hermite-Hadamard type inequalities for interval-valued functions were introduced and generalized for intervalvalued functions, and the Jensen inequalities generalize some known results.
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Fractional Hermite-Hadamard Inequalities for some New Classes of Godunova-Levin Functions
TL;DR: In this article, some new classes of Godunova-Levin functions are introduced and investigated, and several new fractional Hermite-Hadamard inequalities are derived for these new classes.
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Integral Inequalities Involving Strongly Convex Functions
TL;DR: In this article, the notions of strongly convex functions and strongly conveX functions are studied and integral Jensen-Steffensen and Slater's inequalities for strongly convec-tial functions are presented.
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Some integral inequalities for harmonic h-convex functions involving hypergeometric functions
TL;DR: Some new Hermite-Hadamard type inequalities for harmonic h-convex functions involving hypergeometric functions are established and may inspire further research in this field.
References
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Some remarks on s -convex functions
TL;DR: In this paper, two kinds of s-convexity (0 < s ≤ 1) are discussed and it is proved among others that S-concaveity in the second sense is essentially stronger than the S-Concaveness in the first, original, sense whenever 0 < s < 1.
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On h-convexity
TL;DR: In this article, a class of h-convex functions, which generalize convex, s-concave, Godunova-Levin functions and P-functions, is introduced.
Some inequalities of Hadamard type
TL;DR: A sharp Hadamard s inequality for the class of functions introduced by Godunova and Levin was proved in this paper, and a new class P I of quasi convex functions on an interval I is introduced.
Journal ArticleDOI
An inequality of Ostrowski-Grüss' type and its applications to the estimation of error bounds for some special means and for some numerical quadrature rules
Sever S Dragomir,Song Wang +1 more
TL;DR: In this article, a new inequality of Ostrowski-Gruss' type was derived and applied to the estimation of error bounds for some special means and for some numerical quadrature rules.