New inequalities based on harmonic log-convex functions

Harmonic convexity is very important new class of non-convex functions, it gained prominence in the Theory of Inequalities and Applications as well as in the rest of Mathematics's branches.The harmonic convexity of a function is the basis for many inequalities in mathematics.Furthermore, harmonic convexity provides an analytic tool to estimate several known definite integrals like b a e x x n dx, b a e x 2 dx, b a sin x x n dx and b a cos xx n dx ∀n ∈ N, where a, b ∈ (0, ∞).In this article, some un-weighted inequalities of Hermite-Hadamard type for harmonic log-convex functions defined on real intervals are given.