Generalized fractional integral inequalities for exponentially ( s , m ) $(s,m)$ -convex functions

Abstract

Abstract In this paper we have derived the fractional integral inequalities by defining exponentially ( s , m ) $(s,m)$ -convex functions. These inequalities provide upper bounds, boundedness, continuity, and Hadamard type inequality for fractional integrals containing an extended Mittag-Leffler function. The results about fractional integral operators for s-convex, m-convex, ( s , m ) $(s,m)$ -convex, exponentially convex, exponentially s-convex, and convex functions are direct consequences of presented results.

Keywords

• Convex function
• ( s , m ) $(s,m)$ -convex function
• Mittag-Leffler function
• Fractional integral operators
• Boundedness