Fractional inequalities of the Hermite–Hadamard type for m-polynomial convex and harmonically convex functions

In this paper, it is our purpose to establish some new fractional inequalities of the Hermite–Hadamard type for the m-polynomial convex and harmonically convex functions. Our results involve the Caputo–Fabrizio and ζ-Riemann–Liouville fractional integral operators. They generalize, complement and extend existing results in the literature. By taking m≥ 2, we deduce loads of new and interesting inequalities. We expect that the thought laid out in this work will provoke advance examinations in this course.