Several error inequalities for a quadrature formula with a parameter and applications

被引：30
作者：
Liu, Wenjun [1 ]
机构：
[1] Nanjing Univ Informat Sci & Technol, Coll Math & Phys, Nanjing 210044, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2008年 / 56卷 / 07期
关键词：
optimal quadrature formula; error inequality; parameter; sharp error bound; numerical integration;
D O I：
10.1016/j.camwa.2008.04.016
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we will derive several error inequalities for a quadrature formula with a parameter, which will not only provide some generalizations of the known results, but also give some other interesting quadrature formulae as special cases. Furthermore, sharp upper and lower error bounds for the double error inequalities are obtained. Applications in numerical integration are also given. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1766 / 1772
页数：7
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