The impact of poles on the convergence of best rational approximants

DOI10.3103/S1068362309040050zbMath1178.41001OpenAlexW2096423599MaRDI QIDQ736264

Hans-Peter Blatt

Publication date: 27 October 2009

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1068362309040050

zbMATH Keywords

Green's functionrational interpolationrational approximationharmonic majorantsBernstein-Walsh Lemmaweighted Fekete points

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by rational functions (41A20) Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25)

Related Items (1)

Some results on the rational Bernstein-Markov property in the complex plane

Cites Work

• Behavior of zeros of polynomials of near best approximation
• On approximation to an analytic function by rational functions of best approximation
• Ray Sequences of Best Rational Approximants For |x|^α
• A LOCAL CONDITION OF SINGLE-VALUEDNESS OF ANALYTIC FUNCTIONS
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