On the zeros of \(m\)-orthogonal polynomials for Freud weights
type: Item
instance of: scholarly article
title: On the zeros of \(m\)-orthogonal polynomials for Freud weights
zbMATH Open document ID: 1232.41035
author: Yingguang Shi
published in: Journal of Approximation Theory
publication date: 2011-06-14T00:00:00Z
review text: The author obtains estimates of the distance between two consecutive zeros of m-orthogonal polynomials for Freud weights and their applications. He also gives estimates of Christoffel type functions with add order and discusses the convergence of Gauss quadrature formulas for such a weight.
reviewed by: Dumitru Acu
Mathematics Subject Classification ID: 41A55
Mathematics Subject Classification ID: 33C45
zbMATH DE Number: 5907567
zbMATH Keywords: Approximate quadratures
zbMATH Keywords: Orthogonal polynomials
MaRDI profile type: Publication
full work available at URL: j.jat.2010.12.001
OpenAlex ID: W2064175790
cites work: A class of orthogonal polynomials
cites work: Christoffel functions, orthogonal polynomials, and Nevai's conjecture for Freud weights
cites work: Bounds for orthogonal polynomials for exponential weights
cites work: Q4843474
cites work: Mean convergence of extended Lagrange interpolation with Freud weights
cites work: Christoffel type functions for \(m\)-orthogonal polynomials
cites work: Q5309312
cites work: Christoffel-type functions for \(m\)-orthogonal polynomials for Freud weights
cites work: Some notes on the zeros of power orthogonal polynomials
cites work: Convergence of Gaussian quadrature formulas on infinite intervals
DOI: 10.1016/J.JAT.2010.12.001
description: scientific article; zbMATH DE number 5907567