Symmetric multivariate Chebyshev polynomials

DOI10.1016/j.amc.2006.09.003zbMath1120.33010OpenAlexW2034469043MaRDI QIDQ884158

Luis Verde-Star

Publication date: 13 June 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.09.003

zbMATH Keywords

Divided differencesBest uniform approximationMultivariate Chebyshev polynomialsSymmetric polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Best approximation, Chebyshev systems (41A50) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30) Special polynomials in general fields (12E10) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Cites Work

• Some remarks on multivariate Chebyshev polynomials
• Tchebycheff polynomials on a triangular region
• Integral transforms and Chebyshev-like polynomials.
• Tchebycheff polynomials on a disk.
• Chebyshev Polynomials in Several Variables and the Radial Part of the Laplace-Beltrami Operator
• On generalization of tchebycheff polynomials
• A practical guide to splines.
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