On the distribution of zeros and poles of rational approximants on intervals

DOI10.1155/2012/961209zbMath1250.41005OpenAlexW2168750488WikidataQ58697182 ScholiaQ58697182MaRDI QIDQ448874

Vladimir V. Andrievskii, Hans-Peter Blatt, Ralitza K. Kovacheva

Publication date: 7 September 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/961209

zbMATH Keywords

equilibrium measureasymptotic distribution of zerosbest rational approximants

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Approximation by rational functions (41A20)

Cites Work

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• Behavior of zeros of polynomials of near best approximation
• On the asymptotic distribution of oscillation points in rational approximation
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• The interaction of alternation points and poles in rational approximation
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• Rational approximation to \(|x|\)
• On the distribution of roots of polynomials
• Overconvergence, degree of convergence and zeros of sequences of analytic functions
• ON THE CONVERGENCE OF GENERALIZED PADÉ APPROXIMANTS OF MEROMORPHIC FUNCTIONS
• The Density of Alternation Points in Rational Approximation
• Ray Sequences of Best Rational Approximants For |x|^α
• Jentzsch-Szegö Type Theorems for the Zeros of Best Approximants
• On the distribution of points of maximum deviation in the approximation of continuous functions by polynomials
• A LOCAL CONDITION OF SINGLE-VALUEDNESS OF ANALYTIC FUNCTIONS
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