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

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.

References in corpus (1)

• Fractional Calculus: Integral and Differential Equations of Fractional Order

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• Inequalities for a number of different types of convexity
• Hermite-Hadamard type inequalities for mappings whose derivatives are s-convex in the second sense via fractional integrals