New inequalities of Ostrowski type for mappings whose derivatives are $s$-convex in the second sense via fractional integrals

Abstract

A new identity similar to an identity proved in Alomari et al. (2010) [15] for fractional integrals is established. Then by making use of the established identity, some new Ostrowski type inequalities for Riemann–Liouville fractional integral are established. Our results have some relationships with the results of Alomari et al. (2010), proved in [15] and the analysis used in the proofs is simple.