## Abstract and Applied Analysis

### Certain Chebyshev Type Integral Inequalities Involving Hadamard’s Fractional Operators

#### Abstract

We establish certain new fractional integral inequalities for the differentiable functions whose derivatives belong to the space ${L}_{p}([1,\infty ))$, related to the weighted version of the Chebyshev functional, involving Hadamard’s fractional integral operators. As an application, particular results have been also established.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 249091, 7 pages.

Dates
First available in Project Euclid: 2 October 2014

https://projecteuclid.org/euclid.aaa/1412278553

Digital Object Identifier
doi:10.1155/2014/249091

Mathematical Reviews number (MathSciNet)
MR3212403

Zentralblatt MATH identifier
07021996

#### Citation

Ntouyas, Sotiris K.; Purohit, Sunil D.; Tariboon, Jessada. Certain Chebyshev Type Integral Inequalities Involving Hadamard’s Fractional Operators. Abstr. Appl. Anal. 2014 (2014), Article ID 249091, 7 pages. doi:10.1155/2014/249091. https://projecteuclid.org/euclid.aaa/1412278553

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