UR Birkhoff interpolation with rectangular sets of derivatives
Commentationes Mathematicae Universitatis Carolinae (2004)
- Volume: 45, Issue: 4, page 583-590
- ISSN: 0010-2628
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Abstract
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topCrainic, Nicolae. "UR Birkhoff interpolation with rectangular sets of derivatives." Commentationes Mathematicae Universitatis Carolinae 45.4 (2004): 583-590. <http://eudml.org/doc/249354>.
@article{Crainic2004,
abstract = {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.},
author = {Crainic, Nicolae},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Birkhoff interpolation; multivariate interpolation; Polya condition; grids; Birkhoff interpolation; multivariate interpolation; Polya condition; grids},
language = {eng},
number = {4},
pages = {583-590},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {UR Birkhoff interpolation with rectangular sets of derivatives},
url = {http://eudml.org/doc/249354},
volume = {45},
year = {2004},
}
TY - JOUR
AU - Crainic, Nicolae
TI - UR Birkhoff interpolation with rectangular sets of derivatives
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2004
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 45
IS - 4
SP - 583
EP - 590
AB - 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.
LA - eng
KW - Birkhoff interpolation; multivariate interpolation; Polya condition; grids; Birkhoff interpolation; multivariate interpolation; Polya condition; grids
UR - http://eudml.org/doc/249354
ER -
References
top- Ferguson D., The question of uniqueness for G.D. Birkhoff interpolation problems, J. Approx. Theory 2 (1969), 1-28. (1969) Zbl0182.39202MR0247331
- Crainic M., Crainic N., Birkhoff interpolation with rectangular sets of nodes, preprint, Utrecht Univ., 2003.
- Lorentz G.G., Jetter K., Riemenschneider S.D., Birkhoff Interpolation, Encyclopedia of Mathematics and its Applications 19, Addison-Wesley Publ. Co., Reading, Mass., 1983. Zbl1159.41001MR0680938
- Lorentz R.A., Multivariate Birkhoff Interpolation, Lecture Notes in Math. 1516, Springer, Berlin-Heidelberg, 1992. Zbl0760.41002MR1222648
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