Generalized interpolation polynomials
type: Item
instance of: scholarly article
title: Generalized interpolation polynomials
zbMATH Open document ID: 0910.41003
DOI: 10.1007/BF02665943
author: V. S. Abramchuk
author: S. I. Lyashko
author: V. V. Skopetsky
published in: Cybernetics and Systems Analysis
publication date: 1998-11-19T00:00:00Z
review text: A function of the form \(\sum^n_{i= 0} c_ip_i(x) \varphi(x,\vec a)\) is called a generalized interpolation polynomial with a basic function \(\varphi(x,\vec a)\) and node coefficients \(p_i(x)\in C[a,b]\). The authors show that the generalized interpolation polynomials allow one to solve a number of problems in nonlinear approximation theory; e.g., to restore an unknown function \(f\) one can use not only a table of values, but also some properties of \(f\) such as smoothness, asymptotic behaviour near some points, etc.
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 65D05
zbMATH DE Number: 1205595
zbMATH Keywords: interpolation polynomials
MaRDI profile type: Publication
cites work: Q5540873
cites work: Q3026133
cites work: Q3048774
cites work: Q5645344
cites work: Q5591886
cites work: Regularly varying functions
cites work: Q4134790
full work available at URL: https://doi.org/10.1007/bf02665943
OpenAlex ID: W2066326444
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description: scientific article; zbMATH DE number 1205595