On complex (non-analytic) Chebyshev polynomials in \(\mathbb C^{2}\)

DOI10.1007/BF03321787zbMath1254.32008arXiv1002.2060MaRDI QIDQ643187

Ionela Moale, Peter Yuditskii

Publication date: 28 October 2011

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

Full work available at URL: https://arxiv.org/abs/1002.2060

zbMATH Keywords

polynomial approximation on the ball in \(\mathbb C^2\)special conformal mapping, comb-like domains

Mathematics Subject Classification ID

Conformal mappings of special domains (30C20) Approximation in the complex plane (30E10) Multidimensional problems (41A63) Approximation by polynomials (41A10) Other generalizations of function theory of one complex variable (32A30)

Uses Software

• Schwarz-Christoffel
• SC Toolbox

Cites Work

• Explicit min-max polynomials on the disc
• Asymptotics of the best polynomial approximation of \(|x|^{p}\) and of the best Laurent polynomial approximation of \(\text{sgn}(x)\) on two symmetric intervals
• On multivariate polynomials of least deviation from zero on the unit ball
• The classification of the closed sets on R and the representation of the majorants. III
• Some Chebyshev approximations by polynomials in two variables
• Uniform approximation of \(\text{sgn} (x)\) by polynomials and entire functions
• Schwarz-Christoffel Mapping
• Concerning the Uniformization of Certain Reimann Surfaces Allied to the Inverse-Cosine and Inverse-Gamma Surfaces
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