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. [ABSTRACT FROM AUTHOR]