Some Integral Inequalities for Harmonically (alpha,s)-Convex Functions

Abstract

In the paper, the author introduces a new class of harmonically convex functions, which is called harmonically alpha,s-convex functions and establishes some new integral inequalities of the Hermite-Hadamard type for harmonically alpha,s-convex functions. The properties of the newly introduced class of harmonically convex functions are also investigated. Finally, some applications to special means are given.