Riemann-Liouville Fractional integral operators with respect to increasing functions and strongly (α, <i>m</i>)-convex functions

Abstract

In this paper Hadamard type inequalities for strongly (alpha, m)-convex functions via generalized Riemann-Liouville fractional integrals are studied. These inequalities provide generalizations as well as refinements of several well known inequalities. The established results are further connected with fractional integral inequalities for Riemann-Liouville fractional integrals of convex, strongly convex and strongly m-convex functions. By using two fractional integral identities some more Hadamard type inequalities are proved.