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

[摘要] In this paper we have derived the fractional integral inequalities by defining exponentially $(s,m)$-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, $(s,m)$-convex, exponentially convex, exponentially s-convex, and convex functions are direct consequences of presented results.

[学科分类] 电力

[关键词] Convex function;\((s;m)\) -convex function;Mittag-Leffler function;Fractional integral operators;Boundedness