Asymptotic Behaviors of Intermediate Points in the Remainder of the Euler-Maclaurin Formula
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...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2010/134392 |
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| 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. |
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| ISSN: | 1085-3375 1687-0409 |