Order regularity of two-node Birkhoff interpolation with lacunary polynomials
type: Item
instance of: scholarly article
title: Order regularity of two-node Birkhoff interpolation with lacunary polynomials
zbMATH Open document ID: 1165.41304
author: P. Rubió-Díaz
author: F. Palacios-Quiñonero
author: José Luis Díaz-Barrero
published in: Applied Mathematics Letters
publication date: 2009-03-04T00:00:00Z
review text: The Birkhoff interpolation problem with lacunary polynomials is studied. \textit{F. Palacios} and \textit{P. Rubio} [Appl. Math. E-Notes 3, 124--129 (2003; Zbl 1020.41004)] introduced the generalized Polya condition and characterized conditionally regular interpolation matrices by this condition. So under this condition the interpolation problem has an unique solution. In the paper under review the results of Palacios and Rubio are applied to the cases of the one-node interpolation problem and the two-node interpolation problem in the restricted case where one of the nodes is null.
Mathematics Subject Classification ID: 41A05
zbMATH DE Number: 5523306
zbMATH Keywords: algebraic interpolation
zbMATH Keywords: Birkhoff interpolation
zbMATH Keywords: lacunary polynomials
zbMATH Keywords: one-node and two-node problems
MaRDI profile type: Publication
full work available at URL: j.aml.2008.06.004
OpenAlex ID: W2067595457
cites work: On Hermite-Birkhoff interpolation
cites work: Q3621277
cites work: Extended Chebyshev Systems on $( - \infty ,\infty )$
cites work: Q4707121
DOI: 10.1016/J.AML.2008.06.004
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description: scientific article; zbMATH DE number 5523306