On lacunary sums of orthogonal polynomials
type: Item
instance of: scholarly article
title: On lacunary sums of orthogonal polynomials
zbMATH Open document ID: 0819.42012
author: András Kroó
published in: Journal of Mathematical Analysis and Applications
publication date: 1995-03-27T00:00:00Z
review text: Lacunary sums \(\sum a_ k p_{n_ k}\) of polynomials \(p_ n\) orthogonal with respect to a general weight function are investigated in the paper. Wiener-type inequalities are obtained and discussed and they are applied in the proof of a Müntz-type theorem about the denseness of the lacunary sums in \(L^ 2\) on subintervals of the interval of orthogonality.
Mathematics Subject Classification ID: 42C05
zbMATH DE Number: 737214
zbMATH Keywords: orthogonal polynomials
zbMATH Keywords: Müntz-type theorem
zbMATH Keywords: lacunary sums
reviewed by: Herbert Stahl
MaRDI profile type: Publication
full work available at URL: jmaa.1994.1235
OpenAlex ID: W2048330365
DOI: 10.1006/JMAA.1994.1235
description: scientific article; zbMATH DE number 737214