Fractional Hadamard-type inequalities for refined (alpha,h-m)-p-convex functions and their consequences

Abstract

In this paper a new class of convex functions namely refined (alpha,h-m)-p-convex functions is introduced. By utilizing this new definition several refinements of different kinds of convex functions are derived.
Further Riemann-Liouville fractional integral operator is utilized to establish Hadamard-type inequalities for this class of convex functions.
Furthermore, their connection with already known fractional Hadamard inequalities is established.