Asymptotic Behaviors of Intermediate Points in the Remainder of the Euler-Maclaurin Formula

被引：1

作者：

Xu, Aimin ^{[1
]}

Cen, Zhongdi ^{[1
]}

机构：

[1] Zhejiang Wanli Univ, Inst Math, Ningbo 315100, Zhejiang, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2010年

关键词：

MEAN-VALUE THEOREM; INTEGRALS;

D O I：

10.1155/2010/134392

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Euler-Maclaurin formula is a very useful tool in calculus and numerical analysis. This paper is devoted to asymptotic expansion of the intermediate points in the remainder of the generalized Euler-Maclaurin formula when the length of the integral interval tends to be zero. In the special case we also obtain asymptotic behavior of the intermediate point in the remainder of the composite trapezoidal rule.

引用

页数：8

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