On Pólya-Szegö and Chebyshev types inequalities involving the Riemann-Liouville fractional integral operators

Sotiris K. Ntouyas; Praveen Agarwal; Jessada Tariboon

doi:10.7153/jmi-10-38

On Pólya-Szegö and Chebyshev types inequalities involving the Riemann-Liouville fractional integral operators

Sotiris K. Ntouyas
, Praveen Agarwal
, Jessada Tariboon

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

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

52 Scopus citations

Abstract

In this paper, we investigate some new Pólya-Szegö type integral inequalities involving the Riemann-Liouville fractional integral operator, and use them to prove some fractional integral inequalities of Chebyshev type, concerning the integral of the product of two functions and the product of two integrals. Certain special cases are also considered. Finally, examples for constructing the bounding functions are also given.

Original language	English
Pages (from-to)	491-504
Number of pages	14
Journal	Journal of Mathematical Inequalities
Volume	10
Issue number	2
DOIs	https://doi.org/10.7153/jmi-10-38
State	Published - 2016
Externally published	Yes

Keywords

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

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10.7153/jmi-10-38

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abstract = "In this paper, we investigate some new P{\'o}lya-Szeg{\"o} type integral inequalities involving the Riemann-Liouville fractional integral operator, and use them to prove some fractional integral inequalities of Chebyshev type, concerning the integral of the product of two functions and the product of two integrals. Certain special cases are also considered. Finally, examples for constructing the bounding functions are also given.",

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

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

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AU - Agarwal, Praveen

AU - Tariboon, Jessada

N1 - Publisher Copyright: © ELEMENT, Zagreb.

PY - 2016

Y1 - 2016

N2 - In this paper, we investigate some new Pólya-Szegö type integral inequalities involving the Riemann-Liouville fractional integral operator, and use them to prove some fractional integral inequalities of Chebyshev type, concerning the integral of the product of two functions and the product of two integrals. Certain special cases are also considered. Finally, examples for constructing the bounding functions are also given.

AB - In this paper, we investigate some new Pólya-Szegö type integral inequalities involving the Riemann-Liouville fractional integral operator, and use them to prove some fractional integral inequalities of Chebyshev type, concerning the integral of the product of two functions and the product of two integrals. Certain special cases are also considered. Finally, examples for constructing the bounding functions are also given.

KW - Chebyshev functional

KW - Integral inequalities

KW - Pólya-Szegö type inequalities

KW - Riemann-Liouville fractional integral operator

UR - https://www.scopus.com/pages/publications/84986593806

U2 - 10.7153/jmi-10-38

DO - 10.7153/jmi-10-38

M3 - Article

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JO - Journal of Mathematical Inequalities

JF - Journal of Mathematical Inequalities

IS - 2

ER -

On Pólya-Szegö and Chebyshev types inequalities involving the Riemann-Liouville fractional integral operators

Abstract

Keywords

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