Christoffel functions on convex and starlike domains in \(\mathbb R^d\)
type: Item
instance of: scholarly article
title: Christoffel functions on convex and starlike domains in \(\mathbb R^d\)
zbMATH Open document ID: 1300.33014
author: András Kroó
published in: Journal of Mathematical Analysis and Applications
publication date: 2014-08-26T00:00:00Z
review text: The study of the asymptotics of multivariate Christoffel functions poses a rather complex problem which has been solved only for some model cases: cube, unit ball, simplex. The author studies the Christoffel functions on general starlike and convex domains. In such generality the author cannot get precise asymptotics for Christoffel functions, but he obtains sharp pointwise upper bounds. The bounds depend on the geometry of the domain and reveal the behavior of Christoffel functions near the boundary of the domain.
reviewed by: Chrysoula G. Kokologiannaki
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 30C45
zbMATH DE Number: 6334559
zbMATH Keywords: multivariate polynomials
zbMATH Keywords: starlike sets
zbMATH Keywords: orthogonal polynomials
zbMATH Keywords: Christoffel functions
MaRDI profile type: Publication
full work available at URL: j.jmaa.2014.07.037
OpenAlex ID: W1973793989
cites work: Q3838530
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DOI: 10.1016/J.JMAA.2014.07.037
description: scientific article; zbMATH DE number 6334559