Asymptotics for minimal Blaschke products and best \(L_1\) meromorphic approximants of Markov functions.

DOI10.1007/BF03321004zbMath1038.41005MaRDI QIDQ1851478

Vasiliy A. Prokhorov, Laurent Baratchart, Edward B. Saff

Publication date: 26 January 2003

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

zbMATH Keywords

Markov functionbest approximationmeromorphic approximationBlaschke

Mathematics Subject Classification ID

Approximation by rational functions (41A20)

Related Items (3)

On Blaschke products associated with \(n\)-widths ⋮ On rational approximation of Markov functions on finite sets ⋮ Homogenization of Poisson's kernel and applications to boundary control

Cites Work

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• Singular numbers of the imbedding operators for certain classes of analytic and harmonic functions
• The n-width of sets of analytic functions
• The asymptotic distribution of zeros of minimal Blaschke products
• Best rational approximation to Markov functions
• Weighted approximation with varying weight
• ASYMPTOTICS OF SINGULAR NUMBERS OF IMBEDDING OPERATORS FOR CERTAIN CLASSES OF ANALYTIC FUNCTIONS
• WIDTHS OF A CLASS OF ANALYTIC FUNCTIONS
• The 𝐻^{𝑝} spaces of an annulus
• Inner and Outer Functions on Riemann Surfaces
• Asymptotic error for \(L^2\) best rational approximants to Markov functions
• Best meromorphic approximation of Markov functions on the unit circle.

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