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Journal of Approximation Theory
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Journal of Approximation Theory
Article . 2003
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On polynomial interpolation of two variables

Authors: Borislav Bojanov; Yuan Xu;

On polynomial interpolation of two variables

Abstract

This paper is an extension of another previous one by the same authors [SIAM J. Numer. Anal. 39, 1780-1793 (2002; Zbl 1014.41002)]. In that paper they show the existence and uniqueness of solutions of a bivariate polynomial interpolation problem. The interpolation data were of Hermite type: \(\mu_l\) normal derivatives of consecutive orders on \(2m+1\) equidistant points on each circle of radius \(r_l\) (\(0

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Keywords

polynomials in two variables, Factorization of polynomials, Mathematics(all), Numerical Analysis, Applied Mathematics, Two variables, Lagrange interpolation, Polynomials, Numerical interpolation, Hermite interpolation, Interpolation in approximation theory, Analysis

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
27
Average
Top 10%
Average
hybrid