Poles and alternation points in real rational Chebyshev approximation

DOI10.1007/BF03321033zbMath1057.41008OpenAlexW2049960820MaRDI QIDQ1884426

R. Grothmann, Ralitza K. Kovacheva, Hans-Peter Blatt

Publication date: 1 November 2004

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03321033

zbMATH Keywords

best approximationrational approximationalternation points

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by rational functions (41A20)

Related Items (6)

Growth Behavior and Zero Distribution of Maximally Convergent Rational Approximants ⋮ On the distribution of zeros and poles of rational approximants on intervals ⋮ Growth behavior and zero distribution of rational approximants ⋮ Regions of meromorphy and value distribution of geometrically converging rational functions ⋮ The interaction of alternation points and poles in rational approximation ⋮ Distribution of alternation points in best rational approximations

Cites Work

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• Erdős-Turán theorems on a system of Jordan curves and arcs
• On the distribution of simple zeros of polynomials
• On the asymptotic distribution of oscillation points in rational approximation
• Behavior of alternation points in best rational approximation
• The Density of Alternation Points in Rational Approximation
• Rational Interpolation of the Exponential Function

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