Extensions of the Hermite-Hadamard inequality for harmonically convex functions via fractional integrals

The main aim of this paper is to give extensions of the Hermite-Hadamard inequality for harmonically convex functions via Riemann-Liouville fractional integrals. We show how to relax the harmonically convexity property of the function f. Obtained results in this work involve a larger class of functions. Our results are the refinements of the existing results for harmonically convex functions.