Polya conditions for multivariate Birkhoff interpolation: from general to rectangular sets of nodes
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2010
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Crainic, Marius
Crainic, N.
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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.
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Crainic, M & Crainic, N 2010, 'Polya conditions for multivariate Birkhoff interpolation: from general to rectangular sets of nodes', Acta Mathematica Universitatis Comenianae, vol. 79, no. 1, pp. 9-18.