Poles and zeros of best rational approximants of \(| x|\)

DOI10.1007/BF01303523zbMath0815.41015OpenAlexW2093972303MaRDI QIDQ1340076

Herbert R. Stahl

Publication date: 2 July 1995

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01303523

zbMATH Keywords

asymptotic behaviourrational approximation

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Rate of convergence, degree of approximation (41A25) Best constants in approximation theory (41A44)

Related Items (5)

Best uniform rational approximation of \(x^ \alpha\) on \([0,1\).] ⋮ Resolution of Singularities by Rational Functions ⋮ On the distribution of zeros and poles of rational approximants on intervals ⋮ Exponential node clustering at singularities for rational approximation, quadrature, and PDEs ⋮ On the best uniform polynomial approximation to the checkmark function

Cites Work

• Behavior of zeros of polynomials of near best approximation
• Rational approximation to \(x^\alpha\) on \([0,1\)]
• Rational approximation to \(|x|\)
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