Asymptotic behaviors of intermediate points in the remainder of the Euler-Maclaurin formula (Q624463)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Asymptotic behaviors of intermediate points in the remainder of the Euler-Maclaurin formula |
scientific article; zbMATH DE number 5848795
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic behaviors of intermediate points in the remainder of the Euler-Maclaurin formula |
scientific article; zbMATH DE number 5848795 |
Statements
Asymptotic behaviors of intermediate points in the remainder of the Euler-Maclaurin formula (English)
0 references
9 February 2011
0 references
Summary: 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.
0 references
Euler-Maclaurin formula
0 references
asymptotic expansion
0 references
remainder
0 references
composite trapezoidal rule
0 references
