Some New Generalizations for Exponentially <i>s</i>-Convex Functions and Inequalities via Fractional Operators

Abstract

The main objective of this paper is to obtain the Hermite−Hadamard-type inequalities for exponentially s-convex functions via the Katugampola fractional integral. The Katugampola fractional integral is a generalization of Riemann−Liouville fractional integral and Hadamard fractional integral. Some special cases and applications to special means are also discussed.

Keywords

• convex function
• exponentially convex function
• Riemann–Liouville fractional integral
• Hadamard fractional integral
• Katugampola fractional integral