New extensions of Chebyshev type inequalities using generalized Katugampola integrals via Polya-Szegö inequality

A number of Chebyshev type inequalities involving various fractional integral operators have, recently, been presented. In this work, motivated essentially by the earlier works and their applications in diverse research subjects, we establish some new Polya-Szego inequality involving generalized Kat...

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Published inAn international journal of optimization and control Vol. 8; no. 2; pp. 137 - 144
Main Authors Set, Erhan, Dahmani, Zoubir, Mumcu, İlker
Format Journal Article
LanguageEnglish
Published Balikesir Balikesir University, Faculty of Engineering Department of Industrial Engineering 2018
Subjects
Chebyshev approximation
Inequalities
Integrals
Operators (mathematics)
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Summary:A number of Chebyshev type inequalities involving various fractional integral operators have, recently, been presented. In this work, motivated essentially by the earlier works and their applications in diverse research subjects, we establish some new Polya-Szego inequality involving generalized Katugampola fractional integral operator and use them to prove some new fractional Chebyshev type inequalities which are extensions of the results in the paper: [On Polya-Szego and Chebyshev type inequalities involving the Riemann-Liouville fractional integral operators, J. Math. Inequal, 10(2) (2016)].
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ISSN:2146-0957
2146-5703
DOI:10.11121/ijocta.01.2018.00541