Some New Generalizations of Ostrowski Type Inequalities for s-Convex Functions via Fractional Integral Operators

Abstract

Remarkably a lot of Ostrowski type inequalities involving various fractional integral operators have been investigated by many authors. Recently, Raina [34] introduced a new generalization of the Riemann- Liouville fractional integral operator involving a class of functions defined formally by F-rho,lambda(sigma)(x) = Sigma(infinity)(k-0) sigma(k)/Gamma(rho k + lambda)x(k). Using this fractional integral operator, in the present note, we establish some new fractional integral inequalities of Ostrowski type whose special cases are shown to yield corresponding inequalities associated with Riemann-Liouville fractional integral operators.