Some generalized Hermite-Hadamard type inequalities by using the harmonic convexity of differentiable mappings

Year 2019, Volume: 68 Issue: 2, 1543 - 1555, 01.08.2019

Muhammad Amer Latif , Sabir Hussain

https://doi.org/10.31801/cfsuasmas.422991

Abstract

In this paper, a general identity involving a di¤erentiable mapping is established. By using mathematical analysis, Hölder inequality and some auxiliary results, new generalized Hermite Hadamard type inequalities for differentiable harmonically-convex functions are established. It is expected that the results established in this paper contain previously established results asspecial cases.

Keywords

Hermite-Hadamard’s inequality, convex function, harmonic convex function

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