Some new inequalities of Hermite-Hadamard type for s-convex functions with applications

By M. Adil Khan, Y. Chu, Tufail Ahmad Khan, Jamroz Khan. 2017

139 citations recorded by the source corpus.

Abstract In this paper, we present several new and generalized Hermite-Hadamard type inequalities for s-convex as well as s-concave functions via classical and Riemann-Liouville fractional integrals. As applications, we provide new error estimations for the trapezoidal formula.

Subfields: Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/05aad554247cdcfc8d5363ca43d0b8a5f900ba90

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In Applied Mathematics

Citations in the corpus

Inequalities for generalized trigonometric and hyperbolic functions with one parameter (2020, background): “…as well as their inverse functions are very common elementary functions in mathematics, they are widely used in all branches of mathematics [2, 3, 14, 17, 19, 20, 25, 30, 32, 35, 38, 41, 46, 50, 52, 61, 70, 74, 77, 81, 83, 85, 86, 87, 88], they are closely related to the bivariate means…”
Integral Majorization Type Inequalities for the Functions in the Sense of Strong Convexity (2019, background): “In recent years there is a growing interest in generalized convex functions (such as quasi-convex function [1], strongly convex function [2–4], s-convex function [5], approximately convex function [6], logarithmically convex function [7, 8], midconvex function [9], pseudo-convex function [10], φ-con”