UR Birkhoff interpolation with rectangular sets of derivatives

Nicolae Crainic

Commentationes Mathematicae Universitatis Carolinae (2004)

  • Volume: 45, Issue: 4, page 583-590
  • ISSN: 0010-2628

Abstract

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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.

How to cite

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Crainic, 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

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  1. Ferguson D., The question of uniqueness for G.D. Birkhoff interpolation problems, J. Approx. Theory 2 (1969), 1-28. (1969) Zbl0182.39202MR0247331
  2. Crainic M., Crainic N., Birkhoff interpolation with rectangular sets of nodes, preprint, Utrecht Univ., 2003. 
  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. Zbl1159.41001MR0680938
  4. Lorentz R.A., Multivariate Birkhoff Interpolation, Lecture Notes in Math. 1516, Springer, Berlin-Heidelberg, 1992. Zbl0760.41002MR1222648

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