Concerning asymptotic behavior for extremal polynomials associated to nondiagonal Sobolev norms
type: Item
instance of: scholarly article
title: Concerning asymptotic behavior for extremal polynomials associated to nondiagonal Sobolev norms
zbMATH Open document ID: 1267.41008
DOI: 10.1155/2013/628031
author: Ana Portilla
author: Yamilet Quintana
author: José M. Rodríguez
author: Eva Tourís
published in: Journal of Function Spaces and Applications
publication date: 2013-05-29T00:00:00Z
review text: Summary: Let \(\mathbb P\) be the space of polynomials with complex coefficients endowed with a nondiagonal Sobolev norm \(\parallel \cdot \parallel_{W^{1,p}(V \mu)}\), where the matrix \(V\) and the measure \(\mu\) constitute a \(p\)-admissible pair for \(1 \leq p \leq \infty\). We establish the zero location and asymptotic behavior of extremal polynomials associated to \(\parallel \cdot \parallel_{W^{1,p}(V \mu)}\), stating a hypothesis on the matrix \(V\) rather than on the diagonal matrix appearing in its unitary factorization.
Mathematics Subject Classification ID: 41A10
Mathematics Subject Classification ID: 41A60
zbMATH DE Number: 6167910
zbMATH Keywords: space of polynomials
zbMATH Keywords: nondiagonal Sobolev norm
zbMATH Keywords: asymptotic behavior of extremal polynomials
Wikidata QID: Q59014504
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/628031
OpenAlex ID: W2160080064
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description: scientific article; zbMATH DE number 6167910