New inequalities for fractional integrals and their applications

Authors

HSIOW RU HWANG
KUEI LIN TSENG
KAI CHEN HSU

Abstract

In this paper, we establish some Hermite--Hadamard-type, Bullen-type, and Simpson-type inequalities for fractional integrals. Some applications for the beta function are also given.

DOI

10.3906/mat-1411-61

Keywords

Hermite--Hadamard inequality, Bullen inequality, Simpson inequality, fractional integral, convex function

First Page

471

Last Page

486

Recommended Citation

HWANG, HSIOW RU; TSENG, KUEI LIN; and HSU, KAI CHEN (2016) "New inequalities for fractional integrals and their applications," Turkish Journal of Mathematics: Vol. 40: No. 3, Article 1. https://doi.org/10.3906/mat-1411-61
Available at: https://journals.tubitak.gov.tr/math/vol40/iss3/1