Acta mathematica Universitatis Comenianae, Tome 79 (2010) no. 1
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M. Crainic; N. Crainic. Polya conditions for multivariate Birkhoff interpolation: from general to rectangular sets of nodes. Acta mathematica Universitatis Comenianae, Tome 79 (2010) no. 1. http://geodesic.mathdoc.fr/item/AMUC_2010_79_1_a1/
@article{AMUC_2010_79_1_a1,
author = {M. Crainic and N. Crainic},
title = {Polya conditions for multivariate {Birkhoff} interpolation: from general to rectangular sets of nodes},
journal = {Acta mathematica Universitatis Comenianae},
year = {2010},
volume = {79},
number = {1},
url = {http://geodesic.mathdoc.fr/item/AMUC_2010_79_1_a1/}
}
TY - JOUR
AU - M. Crainic
AU - N. Crainic
TI - Polya conditions for multivariate Birkhoff interpolation: from general to rectangular sets of nodes
JO - Acta mathematica Universitatis Comenianae
PY - 2010
VL - 79
IS - 1
UR - http://geodesic.mathdoc.fr/item/AMUC_2010_79_1_a1/
ID - AMUC_2010_79_1_a1
ER -
%0 Journal Article
%A M. Crainic
%A N. Crainic
%T Polya conditions for multivariate Birkhoff interpolation: from general to rectangular sets of nodes
%J Acta mathematica Universitatis Comenianae
%D 2010
%V 79
%N 1
%U http://geodesic.mathdoc.fr/item/AMUC_2010_79_1_a1/
%F AMUC_2010_79_1_a1
Polya conditions are certain algebraic inequalities that regular Birkhoff interpolation schemes must satisfy, and they are useful in deciding if a given scheme is regular or not. Here we review the classical Polya condition and then we show how it can be strengthened in the case of rectangular nodes.