CHEBYSHEV-GRUSS TYPE INEQUALITIES ON TIME SCALES VIA TWO LINEAR ISOTONIC FUNCTIONALS

被引：4

作者：

Nikolova, Ludmila ^{[1
]}

Varosanec, Sanja ^{[2
]}

机构：

[1] Univ Sofia, Dept Math & Informat, Sofia, Bulgaria

[2] Univ Zagreb, Dept Math, Zagreb, Croatia

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2016年 / 19卷 / 04期

关键词：

The Chebyshev-Gruss inequality; fractional integral operator; isotonic linear functional; time scale; INTEGRAL-INEQUALITIES;

D O I：

10.7153/mia-19-105

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a generalization of the Chebyshev-Gruss inequality by using the concept of derivative on time scales combined with application of the Chebyshev inequality involving two linear isotonic functionals. This approach covers integral case, discrete case, results from fractional and quantum calculus.

引用

页码：1417 / 1427

页数：11

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