Fractional Exponentially m-Convex Functions and Inequalities

In this article, we introduce a new class of convex functions involving m ∈ [0, 1], which is called exponentially m-convex function. Some new Hermite-Hadamard inequalities for exponentially m-convex functions via Reimann-Liouville fractional integral are deduced. Several special cases are discussed. Results proved in this paper may stimulate further research in different areas of pure and applied sciences.