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

Erhan Set | Zendy; Zoubir Dahmani | Zendy; İlker Mumcu | Zendy

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

Author(s) -

Erhan Set,

Zoubir Dahmani,

İlker Mumcu

Publication year - 2018

Publication title -

an international journal of optimization and control theories and applications (ijocta)

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.287

H-Index - 6

eISSN - 2146-5703

pISSN - 2146-0957

DOI - 10.11121/ijocta.01.2018.00541

Subject(s) - mathematics , chebyshev filter , inequality , type (biology) , pure mathematics , chebyshev's inequality , operator (biology) , fractional calculus , mathematical analysis , rearrangement inequality , log sum inequality , ecology , biochemistry , chemistry , repressor , gene , transcription factor , biology

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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