Further Results on Chebyshev and Steffensen Inequalities

被引:2
作者
Dahmani, Zoubir [1 ]
Bounoua, Mohamed Doubbi [1 ]
机构
[1] Univ Mostaganem, UMAB, Fac SEI, Lab LPAM, Mostaganem, Algeria
来源
KYUNGPOOK MATHEMATICAL JOURNAL | 2018年 / 58卷 / 01期
关键词
Integral inequalities; Riemann-Liouville integral; Weighted Chebyshev functional; Steffensen inequality;
D O I
10.5666/KMJ.2018.58.1.55
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
By making use of the Riemann-Liouville fractional integrals, we establish further results on Chebyshev inequality. Other Steffensen integral results of the weighted Chebyshev functional are also proved. Some classical results of the paper:[Steffensen's generalization of Chebyshev inequality. J. Math. Inequal., 9(1), (2015).] can be deduced as some special cases.
引用
收藏
页码:55 / 66
页数:12
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