Some generalized Riemann-Liouville k-fractional integral inequalities

被引:33
|
作者
Agarwal, Praveen [1 ]
Tariboon, Jessada [2 ]
Ntouyas, Sotiris K. [3 ,4 ]
机构
[1] Anand Int Coll Engn, Dept Math, Jaipur 303012, Rajasthan, India
[2] King Mongkuts Univ Technol North Bangkok, Nonlinear Dynam Anal Res Ctr, Dept Math, Fac Sci Appl, Bangkok 10800, Thailand
[3] Univ Ioannina, Dept Math, GR-45110 Ioannina, Greece
[4] King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia
关键词
integral inequalities; Chebyshev functional; Riemann-Liouville k-fractional integral operator; Polya and Szego type inequalities; GRUSS TYPE INEQUALITIES;
D O I
10.1186/s13660-016-1067-3
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The focus of the present study is to prove some new Polya-Szego 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.
引用
收藏
页数:13
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