Inequalities for a Unified Integral Operator for Strongly $\left(\alpha ,m\right)$-Convex Function and Related Results in Fractional Calculus

Abstract

In this paper, we study integral inequalities which will provide refinements of bounds of unified integral operators established for convex and α , m -convex functions. A new definition of function, namely, strongly α , m -convex function is applied in different forms and an extended Mittag-Leffler function is utilized to get the required results. Moreover, the obtained results in special cases give refinements of fractional integral inequalities published in this decade.