Some generalized Riemann-Liouville k-fractional integral inequalities

Journal of Inequalities and Applications

Praveen Agarwal¹  Sotiris K Ntouyas²  Jessada Tariboon³ 

[1] Department of Mathematics, Anand International College of Engineering;Department of Mathematics, University of Ioannina;Nonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok;

关键词: integral inequalities;    Chebyshev functional;    Riemann-Liouville k-fractional integral operator;    Pólya and Szegö type inequalities;   

DOI  :  10.1186/s13660-016-1067-3

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown