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arXiv · 1107.5732

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

Erhan Set
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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.

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Erhan Set. 2011-07-28. New inequalities of Ostrowski type for mappings whose derivatives are s-convex in the second sense via fractional integrals. https://doi.org/10.1016/j.camwa.2011.12.023

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