Inequalities for generalized Riemann-Liouville fractional integrals of generalized strongly convex functions

Abstract

Some new integral inequalities for strongly (alpha, h - m)- cony ex functions via generalized Riemann-Liouville fractional integrals are established. The outcomes of this paper provide refinements of some fractional integral inequalities for strongly convex, strongly m-convex, strongly (alpha, m)-convex, and strongly (h - m)-convex functions. Also, the refinements of error estimations of these inequalities are obtained by using two fractional integral identities. Moreover, using a parameter substitution and a constant multiplier, k-fractional versions of established inequalities are also given.