| Title:
|
On one method of numerical integration (English) |
| Author:
|
Matušů, Josef |
| Author:
|
Dohnal, Gejza |
| Author:
|
Matušů, Martin |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
36 |
| Issue:
|
4 |
| Year:
|
1991 |
| Pages:
|
241-263 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The uniform convergence of a sequence of Lienhard approximation of a given continuous function is proved. Further, a method of numerical integration is derived which is based on the Lienhard interpolation method. (English) |
| Keyword:
|
Lienhard interpolation |
| Keyword:
|
numerical integration |
| Keyword:
|
interpolation curve |
| Keyword:
|
uniform convergence |
| Keyword:
|
Lienhard curves |
| MSC:
|
41A05 |
| MSC:
|
41A55 |
| MSC:
|
65D05 |
| MSC:
|
65D30 |
| MSC:
|
65D32 |
| idZBL:
|
Zbl 0753.65020 |
| idMR:
|
MR1113949 |
| DOI:
|
10.21136/AM.1991.104464 |
| . |
| Date available:
|
2008-05-20T18:41:50Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104464 |
| . |
| Reference:
|
[1] H. Lienhard: Interpolation von Funktionswerten bei nuraerischen Bahnsteuerungen.Undated publication of CONTRAVES AG, Zurich. |
| Reference:
|
[2] J. Matušů: The Lienhard interpolation method and some of its generalization.(in Czech). Act. Polytechnica - Práce ČVUT, Prague 3 (IV, 2), 1978. |
| Reference:
|
[3] J. Matušů J. Novák: Constructions of interpolation curves from given supporting elements (I).Aplikace matematiky 30 (1985), 4, Prague. MR 0813532 |
| Reference:
|
[4] J. Matušů J. Novák: Constructions of interpolation curves from given supporting elements (II).Aplikace matematiky 31 (1986), 2, Prague. MR 0837474 |
| . |