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.
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