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On New Inequalities via Riemann-Liouville Fractional Integration

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  • Mehmet Zeki Sarikaya
  • Hasan Ogunmez

Abstract

We extend the Montgomery identities for the Riemann-Liouville fractional integrals. We also use these Montgomery identities to establish some new integral inequalities. Finally, we develop some integral inequalities for the fractional integral using differentiable convex functions.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jnlaaa:428983
    DOI: 10.1155/2012/428983
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    Cited by:

    1. 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.

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