Refinement of Hermite Hadamard Type Inequalities for Convex Functions with Applications

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2024, v.31 no.1, pp.33-48

https://doi.org/10.7468/jksmeb.2024.31.1.33

Muhammad Bilal (University of Karachi)
Asif R. Khan (University of Karachi)

Muhammad, B. , & Asif, R. K. (2024). . 한국수학교육학회지시리즈B:순수및응용수학, 31(1), 33-48, https://doi.org/10.7468/jksmeb.2024.31.1.33

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Abstract

In this study, we would like to state two refined results related to Hermite Hadamard type inequality for convex functions with two distinct techniques. Hence our obtained results would be better than the results already established for the class of convex functions. Applications to trapezoidal rule and special means are also discussed.

keywords: Hermite Hadamard type inequalities, convex functions, Hölder-İşcan integral inequality, improved power mean integral inequality.

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Vol.31 No.1

Refinement of Hermite Hadamard Type Inequalities for Convex Functions with Applications

Abstract

한국수학교육학회지시리즈B:순수및응용수학