Results 71 to 80 of about 27,096,421 (191)

An extension of the Hermite–Hadamard inequality for convex and s-convex functions [PDF]

Aequationes mathematicae, 2019
A new Hermite-Hadamard inequality for convex and \(s\)-convex functions is derived, proved and discussed. The result obtained generalized \textit{Z. Retkes}'s [Acta Sci. Math. 74, No. 1--2, 95--106 (2008; Zbl 1174.26008)].
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Exponential Convex Functions with Respect to $s$ [PDF]

Sahand Communications in Mathematical Analysis
In this paper, we study the concept of exponential convex functions with respect to $s$ and prove Hermite-Hadamard type inequalities for the newly introduced this class of functions.
Mahir Kadakal
doaj   +1 more source

New Estimates for the Jensen Gap Using s-Convexity With Applications

Frontiers in Physics, 2020
In this article, we use s-convex and Green functions to obtain a bound for the Jensen gap in discrete form and a bound for the Jensen gap in integral form.
Muhammad Adil Khan, Shahid Khan, Yu-Ming Chu, Yu-Ming Chu   +3 more
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Integral Inequalities Using Generalized Convexity Property Pertaining to Fractional Integrals and Their Applications [PDF]

Sahand Communications in Mathematical Analysis
In this study, we established the Hermite-Hadamard type, Simpson type, Ostrowski type and midpoint type integral inequalities for the s-convex functions in the second sense via Katugampola fractional integrals.
Muhammad Talha, Artion Kashuri, Soubhagya Sahoo   +2 more
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Some Simpson- and Ostrowski-Type Integral Inequalities for Generalized Convex Functions in Multiplicative Calculus with Their Computational Analysis

Mathematics
Integral 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, Abdul Mateen, Muhammad Toseef, Muhammad Aamir Ali   +3 more
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Ostrowski type inequalities for harmonically s-convex functions

, 2013
11 ...
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Simpson’s quadrature formula for third differentiable and s-convex functions

Boundary Value Problems
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Benaissa, Bouharket, Azzouz, Noureddine, Sarikaya, Mehmet Zeki   +2 more
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The Hermite-Hadamard Type Inequalities for Operator s-Convex Functions [PDF]

Journal of Advanced Research in Pure Mathematics, 2014
In this paper we introduce operator s-convex func- tions and establish some Hermite-Hadamard type inequalities in which some operator s-convex functions of positive operators in Hilbert spaces are involved.
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A Note on Shapleys Convex Measure Games [PDF]

L. S. Shapley, in his paper Cores of Convex Games, introduces Convex Measure Games, those that are induced by a convex function on R, acting over a measure on the coalitions.
Fco. Javier Martinez de Albeniz Salas, Carlos Rafels Pallarola   +1 more
core  

Certain Ostrowski type inequalities for generalized s-convex functions

The Journal of Nonlinear Sciences and Applications, 2017
Summary: In this paper, we first obtain a generalized integral identity for twice local differentiable functions. Then, using functions whose second derivatives in absolute value at certain powers are generalized \(s\)-convex in the second sense, we obtain some new Ostrowski type inequalities.
Tomar, Muharrem, Agarwal, Praveen, Jleli, Mohamed, Samet, Bessem   +3 more
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