The Density of Alternation Points in Rational Approximation

DOI10.2307/2047047zbMath0688.41018OpenAlexW4243854956MaRDI QIDQ4207183

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Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2047047

zbMATH Keywords

alternation pointsWalsh tableequioscillation pointserror in best uniform rational approximation

Mathematics Subject Classification ID

Approximation by rational functions (41A20)

Related Items (10)

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 ⋮ On density of interpolation points, a Kadec-type theorem, and Saff's principle of contamination in \(L_ p\)-approximation ⋮ 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 ⋮ Interpolatory properties of best \(L_ 2\)-approximants ⋮ On the asymptotic distribution of oscillation points in rational approximation ⋮ Zeros of Chebyshev polynomials in Markov systems

Cites Work

• Unnamed Item
• Interpolatory properties of best rational \(L_ 1\)-approximations
• On the rational Tschebyscheff operator
• Distribution of Alternation Points in Uniform Polynomial Approximation
• The Density of Extreme Points in Complex Polynomial Approximation
• The bounding properties of the multipoint Padé approximant to a series of Stieltjes on the real line

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