Hermite-Hadamard Type Fractional Integral Inequalities for Preinvex Functions

Hermite-Hadamard Type Fractional Integral Inequalities for Preinvex Functions

Year:    2018

Author:    Tieyan Lian, Wei Tang, Rui Zhou

Communications in Mathematical Research , Vol. 34 (2018), Iss. 4 : pp. 351–362

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Communications in Mathematical Research , Vol. 34 (2018), Iss. 4 : pp. 351–362

Published online:    2018-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    Hermite-Hadamard's integral inequality Riemann-Liouville fractional integral Hölder's integral inequality

Author Details

Tieyan Lian

Wei Tang

Rui Zhou