Christoffel functions for weights with jumps
type: Item
instance of: scholarly article
title: Christoffel functions for weights with jumps
zbMATH Open document ID: 1329.42023
author: Vilmos Totik
author: Paul Nevai
published in: Constructive Approximation
publication date: 2015-10-14T00:00:00Z
full work available at URL: chjump.pdf
review text: This `pearl' is a companion to the paper by the authors on the asymptotic behavior of \(n\lambda_n(\mu,x_0)\) for the Christoffel function of orthogonal polynomials with respect to a measure having a jump discontinuity at \(x_0\) [Constr. Approx. 42, No. 2, 265--280 (2015; Zbl 1329.42024)]. It gives insight into the history of Christoffel functions with respect to (first) use and developments over nearly a century!
reviewed by: Marcel G. de Bruin
Mathematics Subject Classification ID: 42C05
Mathematics Subject Classification ID: 26C05
Mathematics Subject Classification ID: 31A99
Mathematics Subject Classification ID: 41A10
zbMATH DE Number: 6494470
zbMATH Keywords: Christoffel functions
MaRDI profile type: Publication
OpenAlex ID: W1977326204
cites work: Q3333321
cites work: Q4513495
cites work: Bulk universality and clock spacing of zeros for ergodic Jacobi matrices with absolutely continuous spectrum
cites work: Asymptotics of orthogonal polynomials for a weight with a jump on \([-1,1]\)
cites work: Christoffel Functions and Universality in the Bulk for Multivariate Orthogonal Polynomials
cites work: Hill and toda curves
cites work: Orthogonal polynomials
cites work: Géza Freud, orthogonal polynomials and Christoffel functions. A case study
cites work: Deformation of minimal polynomials and approximation of several intervals by an inverse polynomial mapping
cites work: Q4328333
cites work: Conjugate algebraic integers in real point sets
cites work: Q5289656
cites work: Asymptotics for Christoffel functions for general measures on the real line
cites work: Universality and fine zero spacing on general sets
cites work: Q3292706
DOI: 10.1007/S00365-014-9255-1
description: scientific article; zbMATH DE number 6494470