Multivariate Fink type identity and multivariate Ostrowski, comparison of means and Gruss type inequalities

被引：4
|
作者：
Anastassiou, George A. [1 ]
机构：
[1] Univ Memphis, Dept Math Sci, Memphis, TN 38152 USA
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2007年 / 46卷 / 3-4期
关键词：
multivariate Fink type identity; multivariate Ostrowski type inequality; multivariate comparison of means; multivariate Gruss type inequality;
D O I：
10.1016/j.mcm.2006.11.008
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
We develop and establish a general multivariate Fink type identity which is a representation formula for a multivariate function. Using it we derive general tight multivariate high order Ostrowski type, comparison of means and Gruss type inequalities. The estimates involve L-p norms, for any 1 <= p <= infinity. (C) 2006 Elsevier Ltd. All rights reserved.
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页码：351 / 374
页数：24
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