Generalized Hermite-Hadamard type inequalities involving fractional integral operators.

Erhan Set, Muhammed Aslam Noor, Muhammed Uzair Awan, Abdurrahman G��zpinar
Author Information
  1. Erhan Set: Department of Mathematics, Faculty of Science and Arts, Ordu University, Ordu, Turkey.
  2. Muhammed Aslam Noor: Department of Mathematics, King Saud University, Riyadh, Saudi Arabia.
  3. Muhammed Uzair Awan: Department of Mathematics, Government College University, Faisalabad, Pakistan.
  4. Abdurrahman G��zpinar: Department of Mathematics, Faculty of Science and Arts, Ordu University, Ordu, Turkey.

Abstract

In this article, a new general integral identity involving generalized fractional integral operators is established. With the help of this identity new Hermite-Hadamard type inequalities are obtained for functions whose absolute values of derivatives are convex. As a consequence, the main results of this paper generalize the existing Hermite-Hadamard type inequalities involving the Riemann-Liouville fractional integral.

Keywords

References

  1. J Inequal Appl. 2017;2017(1):206 [PMID: 28943736]

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