Hermite-Hadamard Type Fractional Integral Inequalities for Preinvex Functions

Authors

  • Tieyan Lian College of Arts and Sciences, Shaanxi University of Science and Technology, Xi’an, 710021
  • Wei Tang College of Electrical & Information Engineering, Shaanxi University of Science & Technology, Xi’an, 710021
  • Rui Zhou College of Arts and Sciences, Shaanxi University of Science & Technology, Xi’an, 710021

DOI:

https://doi.org/10.13447/j.1674-5647.2018.04.08

Keywords:

Hermite-Hadamard's integral inequality, Riemann-Liouville fractional integral, Hölder's integral inequality

Abstract

In this article, we extend some estimates of the right-hand side of the Hermite-Hadamard type inequality for preinvex functions with fractional integral. The notion of logarithmically s-Godunova-Levin-preinvex function in second sense is introduced and then a new Hermite-Hadamard inequality is derived for the class of logarithmically s-Godunova-Levin-preinvex function.

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Published

2019-12-16

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Issue

Vol. 34 No. 4 (2018)

Section

Articles

How to Cite

Hermite-Hadamard Type Fractional Integral Inequalities for Preinvex Functions. (2019). Communications in Mathematical Research, 34(4), 351-362. https://doi.org/10.13447/j.1674-5647.2018.04.08