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

An International Journal of Optimization and Control: Theories & Applications

article

Erhan Set¹  Zoubir Dahmani²  İlker Mumcu¹ 

[1] Department of Mathematics, Faculty of Science and Arts, Ordu University;Laboratory of Pure and Applied Mathematics (LPAM), Faculty of Exact Sciences, University of Mostaganem Abdelhamid Ben Badis (UMAB)

关键词: Polya-Szegö inequality;    Chebyshev inequality;    Beta function;    Katugampola fractional integral operators;   

DOI  :  10.11121/ijocta.01.2018.00541

学科分类：地球科学(综合)

来源: Balikesir University

【 摘 要 】

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)].

【 授权许可】

CC BY