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Some New Refinements of Hermite–Hadamard-Type Inequalities Involving - Riemann–Liouville Fractional Integrals and Applications

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  • Muhammad Uzair Awan
  • Sadia Talib
  • Yu-Ming Chu
  • Muhammad Aslam Noor
  • Khalida Inayat Noor

Abstract

The main objective of this article is to establish some new fractional refinements of Hermite–Hadamard-type inequalities essentially using new - Riemann–Liouville fractional integrals, where . Using this new fractional integral, we also derive two new fractional integral identities. Applications of the obtained results are also discussed.

Suggested Citation

  • Muhammad Uzair Awan & Sadia Talib & Yu-Ming Chu & Muhammad Aslam Noor & Khalida Inayat Noor, 2020. "Some New Refinements of Hermite–Hadamard-Type Inequalities Involving - Riemann–Liouville Fractional Integrals and Applications," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-10, April.
    • Handle: RePEc:hin:jnlmpe:3051920
    DOI: 10.1155/2020/3051920
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    Cited by:

    1. Muhammad Aamir Ali & Zhiyue Zhang & Michal Fečkan, 2022. "On Some Error Bounds for Milne’s Formula in Fractional Calculus," Mathematics, MDPI, vol. 11(1), pages 1-11, December.

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