OSTROWSKI TYPE FRACTIONAL INTEGRAL INEQUALITIES FOR MAPPINGS WHOSE DERIVATIVES ARE (α,M)-CONVEX VIA KATUGAMPOLA FRACTIONAL INTEGRALS

Abstract

In this paper we have established a new identity for Katugampola fractional integrals. By using it we have found some generalizations of Riemann-Liouville fractional integral inequalities of Ostrowski type for (α,m)-convex functions. Also we prove some inequalities by taking particular appropriate values of α and m.