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

Abstract

In this study, we derived a new integral identity for differentiable functions. However, we getnew inequalities which is well known as Hermite-Hadamard (H-H) type by using the integralidentity, 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 harmonicallys-Godunova-Levin functions are studied and some special cases are also dealt. Some importantinferences are made at this study for supporting the results that obtained for classes ofharmonically convex functions in previous studies.