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On interpolation by radial polynomials

2004/04/07 by Carl de Boor, de Boor, C.
Engineering · Mathematics · #4105 (Primary) 41A10 #4163 (Secondary) #Advanced Numerical Analysis Techniques #Analysis of PDEs (math.AP) #FOS: Mathematics #Iterative Methods for Nonlinear Equations #Mathematical functions and polynomials #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.math/0404175

openalex publication_date 2004/04/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A lemma of Micchelli's, concerning radial polynomials and weighted sums of point evaluations, is shown to hold for arbitrary linear functionals, as is Schaback's more recent extension of this lemma and Schaback's result concerning interpolation by radial polynomials. Schaback's interpolant is explored.

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