Positivity of continued fractions associated with rational Stieltjes moment problems
type: Item
instance of: scholarly article
title: Positivity of continued fractions associated with rational Stieltjes moment problems
zbMATH Open document ID: 1053.30005
author: Pablo González-Vera
author: Erik Hendriksen
author: Olav Njåstad
author: Adhemar Bultheel
published in: Rocky Mountain Journal of Mathematics
publication date: 2004-03-17T00:00:00Z
review text: Slightly changing normalizations in previous publications the authors give relationships between positive multi-point Padé continued fractions (arising from rational Stieltjes moment problems) and their positive extensions. Renormalizing certain coefficients in the continued fractions to \(1\), results from a previous paper [Lect. Notes Pure Appl. Math. 199, 69--100 (1998; Zbl 0930.30004)] are recovered.
Mathematics Subject Classification ID: 30B70
Mathematics Subject Classification ID: 41A21
zbMATH DE Number: 2060095
zbMATH Keywords: multi-point Padé approximation
zbMATH Keywords: continued fraction
zbMATH Keywords: MP-fraction
zbMATH Keywords: multi-point Stieltjes problem
reviewed by: Marcel G. de Bruin
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1216/rmjm/1181069969
OpenAlex ID: W2141537169
cites work: Q4251983
cites work: Orthogonal rational functions with poles on the unit circle
cites work: Q4310359
cites work: Q4295461
cites work: Q4396828
cites work: A rational moment problem on the unit circle
cites work: Q4251986
cites work: Q4251988
cites work: A rational Stieltjes moment problem.
cites work: Determinacy of a rational moment problem
cites work: Rational approximations corresponding to Newton series (Newton-Padé approximants)
cites work: A Favard theorem for rational functions
cites work: Positive multipoint Padé continued fractions
cites work: Generalized orthogonality and continued fractions
cites work: Continued fractions associated with trigonometric and other strong moment problems
cites work: Q3889331
cites work: Continued fractions with applications
cites work: Continued Fractions which Correspond to Power Series Expansions at Two Points
cites work: Q5752788
DOI: 10.1216/RMJM/1181069969
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description: scientific article; zbMATH DE number 2060095