Strong asymptotics of orthogonal polynomials with varying measures and Hermite-Padé approximants
type: Item
instance of: scholarly article
title: Strong asymptotics of orthogonal polynomials with varying measures and Hermite-Padé approximants
zbMATH Open document ID: 0933.42017
DOI: 10.1016/S0377-0427(98)00148-4
published in: Journal of Computational and Applied Mathematics
publication date: 1999-10-05T00:00:00Z
review text: This very technical paper extends known results on strong asymptotic behaviour of orthogonal polynomials with respect to varying measures on the unit circle and the real line. Using the notions `admissable' and `strongly admissable', new results of Szegő type for both unit circle and real line are derived. As an application hitherto unattainable results on polynomials used for the construction of Hermite-Padé approximants for a Nikishin system of functions are given.
Mathematics Subject Classification ID: 42C05
Mathematics Subject Classification ID: 30E10
zbMATH DE Number: 1326359
zbMATH Keywords: orthogonal polynomials
zbMATH Keywords: varying measures
zbMATH Keywords: Szegő theory
zbMATH Keywords: Nikishin system
author: B. de la Calle Ysern
author: Guillermo López Lagomasino
reviewed by: Marcel G. de Bruin
MaRDI profile type: Publication
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cites work: Q3797670
cites work: Asymptotics of polynomials orthogonal with respect to varying measures
cites work: Q5526190
description: scientific article; zbMATH DE number 1326359