Norm estimates for Chebyshev polynomials. II
type: Item
instance of: scholarly article
title: Norm estimates for Chebyshev polynomials. II
zbMATH Open document ID: 1489.30005
author: Klaus Schiefermayr
author: Maxim Zinchenko
published in: Journal of Mathematical Analysis and Applications
publication date: 2022-03-23T00:00:00Z
review text: The behavior of the norms and the so-called Widom factors of Chebyshev polynomials and weighted Chebyshev polynomials on subsets of the unit circle is studied. As subsets, compact subsets are taken that are symmetric with respect to the real line. Upper and lower bounds for the norms in terms of the norms of Chebyshev and weighted Chebyshev polynomials on a certain related subset of \([-1,1]\) are established. In the case of two circular arcs symmetric with respect to the origin, asymptotics of the corresponding Widom factors are derived, as well as exact values of their supremum and infimum are established.
Mathematics Subject Classification ID: 30C10
Mathematics Subject Classification ID: 30E10
Mathematics Subject Classification ID: 26C05
zbMATH DE Number: 7496963
zbMATH Keywords: norm estimates
zbMATH Keywords: Chebyshev polynomials
zbMATH Keywords: Widom factors
zbMATH Keywords: symmetric subsets of the unit circle
reviewed by: D. K. Ugulava
MaRDI profile type: Publication
full work available at URL: j.jmaa.2022.126131
OpenAlex ID: W4214854226
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DOI: 10.1016/J.JMAA.2022.126131
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description: scientific article; zbMATH DE number 7496963