On the condition of orthogonal polynomials via modified moments
type: Item
instance of: scholarly article
title: On the condition of orthogonal polynomials via modified moments
zbMATH Open document ID: 0840.42018
DOI: 10.4171/ZAA/696
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 1996-06-12T00:00:00Z
review text: Summary: We consider the condition of orthogonal polynomials, encoded by the coefficients of their three-term recurrence relation, if the measure is given by modified moments (i.e., integrals of certain polynomials forming a basis). The results concerning various polynomial bases are illustrated by simple examples of generating (possibly shifted) Chebyshev polynomials of first and second kind.
Mathematics Subject Classification ID: 42C05
Mathematics Subject Classification ID: 33C45
zbMATH DE Number: 856814
zbMATH Keywords: orthogonal polynomials
zbMATH Keywords: three-term recurrence relation
zbMATH Keywords: polynomial bases
author: Hans-Jürgen Fischer
MaRDI profile type: Publication
cites work: Q4170993
cites work: Q3906992
cites work: On the sensitivity of orthogonal polynomials to perturbations in the moments
cites work: Q3473613
cites work: Approximation von Funktionen und ihre numerische Behandlung
cites work: On the Regular Behaviour of Orthogonal Polynomials
full work available at URL: https://doi.org/10.4171/zaa/696
OpenAlex ID: W2002220024
description: scientific article; zbMATH DE number 856814