Hermite-Hadamard type inequalities for harmonically convex functions via fractional integrals

holds. This double inequality is known in the literature as Hermite-Hadamard integral inequality for convex functions. Note that some of the classical inequalities for means can be derived from (1.1) for appropriate particular selections of the mapping f . Both inequalities hold in the reversed direction if f is concave. For some results which generalize, improve and extend the inequalities (1.1) we refer the reader to the recent papers (see [1, 2, 3, 4, 5] ) and references therein. In [1], Iscan gave definition of harmonically convexity as follows: Definition 1. Let I ⊆ R\ {0} be a real interval. A function f : I → R is said to be harmonically convex, if