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Polya conditions for multivariate Birkhoff interpolation:
from general to rectangular sets of nodes
M. Crainic and N. Crainic
Received: June 24, 2008; Revised: March 20, 2009; Accepted: March 30, 2009
Abstract. 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.
Keywords: Birkhoff interpolation, multivariate interpolation, Polya.
AMS Subject classification: Primary: 65D055, 41A63.
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