First order derivatives new h.hadamard type ınequalities for harmonically h convex functions

Year 2020, Volume: 41 Issue: 1, 69 - 84, 22.03.2020

Merve Kule Mehmet Eyüp Kiriş

https://doi.org/10.17776/csj.538397

Abstract

In this study, we derived a new integral identity for differentiable functions. However, we get new inequalities which is well known as Hermite-Hadamard (H-H) type by using the integral identity, which unifies the class of new and known harmonically convex functions. Moreover, in this study, the properties of first and second kind harmonically s-convex and harmonically s-Godunova-Levin functions are studied and some special cases are also dealt. Some important inferences are made at this study for supporting the results that obtained for classes of harmonically convex functions in previous studies. 

Keywords

Convex function, Harmonically convex function, Harmonically h-convex function, Hermite-Hadamard inequality

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