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

Joint Authors

Cen, Zhongdi
Xu, Aimin

Source

Abstract and Applied Analysis

Issue

Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2010-12-29

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Xu, Aimin& Cen, Zhongdi. 2010. Asymptotic Behaviors of Intermediate Points in the Remainder of the Euler-Maclaurin Formula. Abstract and Applied Analysis،Vol. 2010, no. 2010, pp.1-8.
https://search.emarefa.net/detail/BIM-448362

Modern Language Association (MLA)

Xu, Aimin& Cen, Zhongdi. Asymptotic Behaviors of Intermediate Points in the Remainder of the Euler-Maclaurin Formula. Abstract and Applied Analysis No. 2010 (2010), pp.1-8.
https://search.emarefa.net/detail/BIM-448362

American Medical Association (AMA)

Xu, Aimin& Cen, Zhongdi. Asymptotic Behaviors of Intermediate Points in the Remainder of the Euler-Maclaurin Formula. Abstract and Applied Analysis. 2010. Vol. 2010, no. 2010, pp.1-8.
https://search.emarefa.net/detail/BIM-448362

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-448362