Some Ostrowski-Gruss type inequalities and applications

被引：31

作者：

Liu, Zheng ^{[1
]}

机构：

[1] Univ Sci & Technol, Sch Sci, Inst Appl Math, Anshan 114051, Liaoning, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2007年 / 53卷 / 01期

关键词：

Ostrowski-Gruss type inequality; Lipschitzian type function; function of bounded variation; probability density function; cumulative distribution function;

D O I：

10.1016/j.camwa.2006.12.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

New generalizations of Ostrowski-Gruss type inequalities for functions of Lipschitzian type are established. Applications for cumulative distribution functions are given. (c) 2007 Published by Elsevier Ltd

引用

页码：73 / 79

页数：7

共 3 条

[1] Some inequalities for probability, expectation, and variance of random variables defined over a finite interval
Barnett, NS
Dragomir, SS
Agarwal, RP
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2002, 43 (10-11) : 1319 - 1357
[2] Improvement of some Ostrowski-Gruss type inequalities
Cheng, XL
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2001, 42 (1-2) : 109 - 114
[3] New bounds for the first inequality of Ostrowski-Gruss type and applications
Ujevic, N
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2003, 46 (2-3) : 421 - 427

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