Some new inequalities of Hermite−Hadamard type via Katugampola fractional integral

Abstract

In this study, we present the midpoint and trapezoid inequali- ties for an F−convex function in terms of Katugampola fractional integral

operators. We obtained new results involving Katugampola-fractional in- tegral operators for differentiable mapping φ whose second derivatives in

the absolute values are F−convex. Also established connections between our results with several renowned results in literature. Results proved in this paper may stimulate further research in this area.