Asymptotic behaviour of the ratio of Christoffel functions for weights \(W^ 2\) and \(W^ 2g\)
type: Item
instance of: scholarly article
title: Asymptotic behaviour of the ratio of Christoffel functions for weights \(W^ 2\) and \(W^ 2g\)
zbMATH Open document ID: 0647.42015
DOI: 10.1016/0021-9045(88)90044-5
author: Arnold Knopfmacher
author: Doron S. Lubinsky
published in: Journal of Approximation Theory
publication date: 1988-01-01T00:00:00Z
review text: The limit relation: \[ \lim_{n\to \infty}\lambda_ n(W^ 2g,x)/\lambda (W^ 2,x)=g(x) \] involving the two Christoffel functions \(\lambda_ n(W\) 2g,x) and \(\lambda_ n(W^ 2,x)\) and associated with the weights \(d\alpha_ g(x)=W^ 2(x)g(x)dx\) and \(d\alpha(x)=W^ 2(x)dx\) respectively are established. Applications are also indicated. The paper is well written.
Mathematics Subject Classification ID: 42C05
Mathematics Subject Classification ID: 41A10
zbMATH DE Number: 4056263
zbMATH Keywords: asymptotics
zbMATH Keywords: Christoffel functions
zbMATH Keywords: weights
zbMATH Keywords: Applications
reviewed by: Ajendra Nath Srivastava
MaRDI profile type: Publication
full work available at URL: 0021-9045(88)90044-5
OpenAlex ID: W1993155938
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description: scientific article; zbMATH DE number 4056263