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

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  • Andrea Aglić Aljinović

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.

Suggested Citation

  • Andrea Aglić Aljinović, 2014. "Montgomery Identity and Ostrowski Type Inequalities for Riemann-Liouville Fractional Integral," Journal of Mathematics, Hindawi, vol. 2014, pages 1-6, September.
    • Handle: RePEc:hin:jjmath:503195
    DOI: 10.1155/2014/503195
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    References listed on IDEAS

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    1. Mehmet Zeki Sarikaya & Hasan Ogunmez, 2012. "On New Inequalities via Riemann-Liouville Fractional Integration," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-10, October.
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