On the asymptotic distribution of oscillation points in rational approximation

DOI10.1007/BF02074000zbMath0791.41018OpenAlexW60518112MaRDI QIDQ1317564

András Kroó, Franz Peherstorfer

Publication date: 22 March 1994

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02074000

zbMATH Keywords

best uniform rational approximation

Mathematics Subject Classification ID

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

Related Items (6)

Behavior of alternation points in best rational approximation ⋮ Poles and alternation points in real rational Chebyshev approximation ⋮ On the distribution of zeros and poles of rational approximants on intervals ⋮ Concentration of the error between a function and its polynomial of best uniform approximation ⋮ The interaction of alternation points and poles in rational approximation ⋮ Distribution of alternation points in best rational approximations

Cites Work

• Interpolatory properties of best rational \(L_ 1\)-approximations
• Approximations with negative roots and poles
• On the rational Tschebyscheff operator
• Distribution of Alternation Points in Uniform Polynomial Approximation
• The Density of Extreme Points in Complex Polynomial Approximation
• The Density of Alternation Points in Rational Approximation

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