Open Mathematics (Jul 2020)

Generalized fractional integral inequalities of Hermite-Hadamard-type for a convex function

  • Han Jiangfeng,
  • Mohammed Pshtiwan Othman,
  • Zeng Huidan

DOI
https://doi.org/10.1515/math-2020-0038
Journal volume & issue
Vol. 18, no. 1
pp. 794 – 806

Abstract

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The primary objective of this research is to establish the generalized fractional integral inequalities of Hermite-Hadamard-type for MT-convex functions and to explore some new Hermite-Hadamard-type inequalities in a form of Riemann-Liouville fractional integrals as well as classical integrals. It is worth mentioning that our work generalizes and extends the results appeared in the literature.

Keywords