Certain recent fractional integral inequalities associated with the hypergeometric operators

Shilpi Jain; Praveen Agarwal; Bashir Ahmad; S. K.Q. Al-Omari

doi:10.1016/j.jksus.2015.04.002

Certain recent fractional integral inequalities associated with the hypergeometric operators

Shilpi Jain
, Praveen Agarwal
, Bashir Ahmad
, S. K.Q. Al-Omari

Poornima College of Engineering
International College of Engineering
Faculty of Sciences, King Abdulaziz University
Al-Balqa Applied University

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

The principle aim of this paper is to establish some new (presumably) fractional integral inequalities whose special cases are shown to yield corresponding inequalities associated with Riemann-Liouville type fractional integral operators by using hypergeometric fractional integral operator. Some relevant connections of the results presented here with those earlier ones are also pointed out.

Original language	English
Pages (from-to)	82-86
Number of pages	5
Journal	Journal of King Saud University - Science
Volume	28
Issue number	1
DOIs	https://doi.org/10.1016/j.jksus.2015.04.002
State	Published - 1 Jan 2016
Externally published	Yes

Keywords

Chebyshev functional
Integral inequalities
Pólya and Szegö type inequalities
Riemann-Liouville fractional integral operator

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10.1016/j.jksus.2015.04.002

Cite this

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title = "Certain recent fractional integral inequalities associated with the hypergeometric operators",

abstract = "The principle aim of this paper is to establish some new (presumably) fractional integral inequalities whose special cases are shown to yield corresponding inequalities associated with Riemann-Liouville type fractional integral operators by using hypergeometric fractional integral operator. Some relevant connections of the results presented here with those earlier ones are also pointed out.",

keywords = "Chebyshev functional, Integral inequalities, P{\'o}lya and Szeg{\"o} type inequalities, Riemann-Liouville fractional integral operator",

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AU - Agarwal, Praveen

AU - Ahmad, Bashir

AU - Al-Omari, S. K.Q.

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N2 - The principle aim of this paper is to establish some new (presumably) fractional integral inequalities whose special cases are shown to yield corresponding inequalities associated with Riemann-Liouville type fractional integral operators by using hypergeometric fractional integral operator. Some relevant connections of the results presented here with those earlier ones are also pointed out.

AB - The principle aim of this paper is to establish some new (presumably) fractional integral inequalities whose special cases are shown to yield corresponding inequalities associated with Riemann-Liouville type fractional integral operators by using hypergeometric fractional integral operator. Some relevant connections of the results presented here with those earlier ones are also pointed out.

KW - Chebyshev functional

KW - Integral inequalities

KW - Pólya and Szegö type inequalities

KW - Riemann-Liouville fractional integral operator

UR - https://www.scopus.com/pages/publications/84955216510

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ER -

Certain recent fractional integral inequalities associated with the hypergeometric operators

Abstract

Keywords

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