Ostrowski and trapezoid type inequalities for Riemann-Liouville fractional integrals of absolutely continuous functions with bounded derivatives

Abstract

In this paper we establish some Ostrowski and trapezoid type inequalities for the Riemann-Liouville fractional integrals of absolutely continuous functions with bounded derivatives. Applications for mid-point and trapezoid inequalities are provided as well. They generalize the known results holding for the classical Riemann integral. Some examples for convex functions are also given. Mathematics subject classification (2010): 26D15, 26D10, 26D07, 26A33.