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, H. R, TSENG, K. L, & HSU, K. C (2016). New inequalities for fractional integrals and their applications. Turkish Journal of Mathematics 40 (3): 471-486. https://doi.org/10.3906/mat-1411-61

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