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Integral inequalities for co-ordinated s–convex functions
AIP Conference Proceedings, 2017Agri Ibrahim Cecen Univ, IC ...
Akdemir, Ahmet Ocak +5 more
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On the new Hermite–Hadamard type inequalities for s-convex functions
Afrika Matematika, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Barsam, Hasan +2 more
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The Popoviciu type inequalities for s-convex functions in the third sense
Mathematical Inequalities & Applications, 2023Summary: In this article, firstly, some examples involving hypergeometric functions for the \(s\)-convex functions in the third sense are presented. Then, the Popoviciu type inequalities and some integral versions of these inequalities for the \(s\)-convex functions in the third sense are proved.
Eken, Zeynep, Sezer, Sevda
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Some inequalities of Hermite-Hadamard type for s-convex functions
Acta Mathematica Scientia, 2011In this paper several inequalities of the left-hand side of Hermite-Hadamard's inequality are obtained for s-convex functions.
Alomari, Mohammad W. +2 more
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On some characterizations of generalized s-convex functions
Asian-European Journal of MathematicsGeneralized [Formula: see text]-convex functions are a new class of generalized convex functions that have been established in this paper. In a similar sense, a new class of generalized [Formula: see text]-convex sets is introduced as a generalization of [Formula: see text]-convex sets.
Ehtesham Akhter, Musavvir Ali
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A direct proof of the s -Hölder continuity of Breckner s -convex functions
Aequationes Mathematicae, 2001We give a direct proof of W. W. Breckner's result that Breckner s-convex real-valued functions on finite dimensional normed spaces are locally s-Hölder.
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Some integral inequalities for s-convex functions
2017In the paper, by virtue of an integral identity and the H\"older inequality for integrals, the authors establish some new inequalities of the Hermite--Hadamard type for $s$-convex functions, derives some new inequalities for common convex functions, and apply these new results to construct some inequalities for special means.
SHUANG, Ye, QI, Feng
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p-Convex Functions and Some of Their Properties
Numerical Functional Analysis and Optimization, 2021Sevda Sezer +2 more
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On q-Hermite–Hadamard inequalities for general convex functions
Acta Mathematica Hungarica, 2020Péter Kórus
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