| Title:
|
Estimation of error in approximate numerical integration near a simple pole using Chebyshev points (English) |
| Author:
|
Bose, Subhas Chandra |
| Author:
|
Kundu, Madhav Chandra |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
25 |
| Issue:
|
6 |
| Year:
|
1980 |
| Pages:
|
400-407 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this note quadrature formula with error estimate for functions with simple pole is discussed. Chebyshev points of the second kind are used as the nodes of integration. (English) |
| Keyword:
|
quadrature formula |
| Keyword:
|
error estimate |
| Keyword:
|
functions with simple pole |
| Keyword:
|
Chebyshev points |
| MSC:
|
41A55 |
| MSC:
|
65D30 |
| MSC:
|
65D32 |
| idZBL:
|
Zbl 0457.65007 |
| idMR:
|
MR0596846 |
| DOI:
|
10.21136/AM.1980.103878 |
| . |
| Date available:
|
2008-05-20T18:15:26Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103878 |
| . |
| Reference:
|
[1] N. I. Achieser: Theory of approximation.(translated by C. J. Hyman). Frederick Ungar Publishing Co., New York, 1956. Zbl 0072.28403, MR 0095369 |
| Reference:
|
[2] N. K. Basu: Approximate integration near a simple pole using Chebyshev abscissas.Mathematica, Vol. 13 (36), 5-11 (1971). MR 0301898 |
| Reference:
|
[3] E. Isaacson H. B. Keller: Analysis of numerical methods.John Wiley and Sons, Inc., New York, 1966. MR 0201039 |
| Reference:
|
[4] M. C. Kundu: Approximate integration near a simple pole using Chebyshev points of the second kind.Bulletin Mathematique, T. 21 (69), nr. 3-4(1977). Zbl 0368.65018, MR 0474711 |
| Reference:
|
[5] W. A. Markoff: Über die Funktionen, die an einem gegebenen Intervall möglichst wenig von Null abweichen.Math. Ann. 77, 213-258 (1916). MR 1511855, 10.1007/BF01456902 |
| Reference:
|
[6] G. Opitz: Genäherte Integration in der Nähe eines einfachen Pols.ZAMM, 41, 263-264 (1961). Zbl 0102.11703, MR 0126104, 10.1002/zamm.19610410607 |
| . |
