| Title:
|
UR Birkhoff interpolation with rectangular sets of derivatives (English) |
| Author:
|
Crainic, Nicolae |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
45 |
| Issue:
|
4 |
| Year:
|
2004 |
| Pages:
|
583-590 |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we characterize the regular UR Birkhoff interpolation schemes ($U=$ uniform, $R=$ rectangular sets of nodes) with rectangular sets of derivatives, and beyond. (English) |
| Keyword:
|
Birkhoff interpolation |
| Keyword:
|
multivariate interpolation |
| Keyword:
|
Polya condition |
| Keyword:
|
grids |
| MSC:
|
41A05 |
| MSC:
|
41A63 |
| MSC:
|
65D05 |
| idZBL:
|
Zbl 1097.65503 |
| idMR:
|
MR2103076 |
| . |
| Date available:
|
2009-05-05T16:47:42Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119486 |
| . |
| Reference:
|
[1] Ferguson D.: The question of uniqueness for G.D. Birkhoff interpolation problems.J. Approx. Theory 2 (1969), 1-28. Zbl 0182.39202, MR 0247331 |
| Reference:
|
[2] Crainic M., Crainic N.: Birkhoff interpolation with rectangular sets of nodes.preprint, Utrecht Univ., 2003. |
| Reference:
|
[3] Lorentz G.G., Jetter K., Riemenschneider S.D.: Birkhoff Interpolation.Encyclopedia of Mathematics and its Applications 19, Addison-Wesley Publ. Co., Reading, Mass., 1983. Zbl 1159.41001, MR 0680938 |
| Reference:
|
[4] Lorentz R.A.: Multivariate Birkhoff Interpolation.Lecture Notes in Math. 1516, Springer, Berlin-Heidelberg, 1992. Zbl 0760.41002, MR 1222648 |
| . |
