On the existence of nonlinear Padé-Chebyshev approximations for analytic functions

DOI10.1134/S0001434609070281zbMath1177.42023OpenAlexW2040758790WikidataQ125975750 ScholiaQ125975750MaRDI QIDQ736233

Sergey P. Suetin

Publication date: 27 October 2009

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434609070281

zbMATH Keywords

analytic functionrational functionLaurent seriesFaber seriesalgebraic functionPadé-Chebyshev approximationPadé-Faber approximation

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Padé approximation (41A21)

Related Items (3)

Convergence of row sequences of simultaneous Padé-Faber approximants ⋮ On some properties of Hermite-Padé approximants to an exponential system ⋮ On Montessus de Ballore's theorem for simultaneous Padé-Faber approximants

Uses Software

• Maple

Cites Work

• Laurent-Padé approximants to four kinds of Chebyshev polynomial expansions. I. Maehly type approximants
• Laurent-Padé approximants to four kinds of Chebyshev polynomial expansions. II. Clenshaw-Lord type approximants
• Error autocorrelation in rational approximation and interval estimates. A survey of results
• A Rational Spectral Collocation Method with Adaptively Transformed Chebyshev Grid Points
• On the Faber Transform and Efficient Numerical Rational Approximation
• Block Structure in the Chebyshev–Padé Table
• Gaussian Spectral Rules for the Three-Point Second Differences: I. A Two-Point Positive Definite Problem in a Semi-Infinite Domain
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