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


Butt S. I., BAYRAKTAR B., Valdes J. E. N.

PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, no.7-8, pp.269-290, 2023 (ESCI) identifier identifier identifier

Abstract

In this study, we present the midpoint and trapezoid inequalities for an F-convex function in terms of Katugampola fractional integral operators. We obtained new results involving Katugampola-fractional integral operators for differentiable mapping Phi 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.