Montgomery Identity and Ostrowski Type Inequalities for Riemann-Liouville Fractional Integral

Andrea Aglić Aljinović

Journal of Mathematics, 2014, vol. 2014, 1-6

Abstract:

We present Montgomery identity for Riemann-Liouville fractional integral as well as for fractional integral of a function with respect to another function . We further use them to obtain Ostrowski type inequalities involving functions whose first derivatives belong to spaces. These inequalities are generally sharp in case and the best possible in case . Application for Hadamard fractional integrals is given.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:503195

DOI: 10.1155/2014/503195

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