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

TL;DR

This paper develops new Ostrowski type inequalities involving fractional integrals for functions with derivatives that are s-convex in the second sense, extending previous results with simpler analysis.

Contribution

It introduces novel inequalities of Ostrowski type for fractional integrals of s-convex functions, improving and simplifying existing results.

Findings

Derived new Ostrowski inequalities for fractional integrals

Established relationships with previous inequalities by Alomari et al.

Provided simpler proof techniques for these inequalities

Abstract

New identity similar to an identity of [13] for fractional integrals have been defined. Then making use of this identity, some new Ostrowski type inequalities for Riemann-Liouville fractional integral have been developed. Our results have some relationships with the results of Alomari et. al., proved in [13] [published in. Appl. Math. Lett. 23 (2010) 1071-1076] and the analysis used in the proofs is simple.