Certain Grüss type inequalities involving the generalized fractional integral operator

Guotao Wang; Praveen Agarwal; Mehar Chand

doi:10.1186/1029-242X-2014-147

Certain Grüss type inequalities involving the generalized fractional integral operator

Guotao Wang
, Praveen Agarwal
, Mehar Chand

Shanxi Normal University
International College of Engineering
Fateh College for Women

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

39 Scopus citations

Abstract

A remarkably large number of Grüss type fractional integral inequalities involving the special function have been investigated by many authors. Very recently, Kalla and Rao (Matematiche LXVI(1):57-64, 2011) gave two Grüss type inequalities involving the Saigo fractional integral operator. Using the same technique, in this paper, we establish certain new Grüss type fractional integral inequalities involving the Gauss hypergeometric function. Moreover, we also consider their relevances for other related known results.

Original language	English
Article number	147
Journal	Journal of Inequalities and Applications
Volume	2014
Issue number	1
DOIs	https://doi.org/10.1186/1029-242X-2014-147
State	Published - Apr 2014
Externally published	Yes

Keywords

Fractional integrals and hypergeometric fractional integrals
Grüss inequality
Integral inequalities

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10.1186/1029-242X-2014-147

Cite this

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abstract = "A remarkably large number of Gr{\"u}ss type fractional integral inequalities involving the special function have been investigated by many authors. Very recently, Kalla and Rao (Matematiche LXVI(1):57-64, 2011) gave two Gr{\"u}ss type inequalities involving the Saigo fractional integral operator. Using the same technique, in this paper, we establish certain new Gr{\"u}ss type fractional integral inequalities involving the Gauss hypergeometric function. Moreover, we also consider their relevances for other related known results.",

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AU - Agarwal, Praveen

AU - Chand, Mehar

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AB - A remarkably large number of Grüss type fractional integral inequalities involving the special function have been investigated by many authors. Very recently, Kalla and Rao (Matematiche LXVI(1):57-64, 2011) gave two Grüss type inequalities involving the Saigo fractional integral operator. Using the same technique, in this paper, we establish certain new Grüss type fractional integral inequalities involving the Gauss hypergeometric function. Moreover, we also consider their relevances for other related known results.

KW - Fractional integrals and hypergeometric fractional integrals

KW - Grüss inequality

KW - Integral inequalities

UR - https://www.scopus.com/pages/publications/84899806015

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DO - 10.1186/1029-242X-2014-147

M3 - Article

AN - SCOPUS:84899806015

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VL - 2014

JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

IS - 1

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ER -

Certain Grüss type inequalities involving the generalized fractional integral operator

Abstract

Keywords

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