Inequalities for Unified Integral Operators via Strongly α , h ‐ m -Convexity

Abstract

In this paper, we give a generalized definition namely strongly $\left(\alpha ,h‐m\right)$ -convex function that unifies many known definitions. By applying this new definition, we present inequalities for unified integral operators which have connection with many of the well-known results for different kinds of convex functions. Moreover, this paper at once provides refinements and generalizations of a lot of fractional integral inequalities which are identified in remarks.