Some generalized Riemann-Liouville k-fractional integral inequalities

Praveen Agarwal; Jessada Tariboon; Sotiris K. Ntouyas

doi:10.1186/s13660-016-1067-3

Some generalized Riemann-Liouville k-fractional integral inequalities

Praveen Agarwal
, Jessada Tariboon
, Sotiris K. Ntouyas

International College of Engineering
King Mongkut's University of Technology North Bangkok
University of Ioannina
Faculty of Sciences, King Abdulaziz University

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

57 Scopus citations

Abstract

The focus of the present study is to prove some new Pólya-Szegö type integral inequalities involving the generalized Riemann-Liouville k-fractional integral operator. These inequalities are used then to establish some fractional integral inequalities of Chebyshev type.

Original language	English
Article number	122
Journal	Journal of Inequalities and Applications
Volume	2016
Issue number	1
DOIs	https://doi.org/10.1186/s13660-016-1067-3
State	Published - 1 Dec 2016
Externally published	Yes

Keywords

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

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10.1186/s13660-016-1067-3

Cite this

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title = "Some generalized Riemann-Liouville k-fractional integral inequalities",

abstract = "The focus of the present study is to prove some new P{\'o}lya-Szeg{\"o} type integral inequalities involving the generalized Riemann-Liouville k-fractional integral operator. These inequalities are used then to establish some fractional integral inequalities of Chebyshev type.",

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

author = "Praveen Agarwal and Jessada Tariboon and Ntouyas, \{Sotiris K.\}",

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AB - The focus of the present study is to prove some new Pólya-Szegö type integral inequalities involving the generalized Riemann-Liouville k-fractional integral operator. These inequalities are used then to establish some fractional integral inequalities of Chebyshev type.

KW - Chebyshev functional

KW - Pólya and Szegö type inequalities

KW - Riemann-Liouville k-fractional integral operator

KW - integral inequalities

UR - https://www.scopus.com/pages/publications/84964285168

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DO - 10.1186/s13660-016-1067-3

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JO - Journal of Inequalities and Applications

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Some generalized Riemann-Liouville k-fractional integral inequalities

Abstract

Keywords

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