On Polynomials of Least Deviation from Zero in Several Variables

DOI10.1080/10586458.2004.10504525zbMath1058.41005arXivmath/0401416OpenAlexW2152077125MaRDI QIDQ4818680

Yuan Xu

Publication date: 1 October 2004

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0401416

zbMATH Keywords

least deviation from zeromultivariate best approximation

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Multidimensional problems (41A63) Approximation by polynomials (41A10)

Related Items

Invariants and Chebyshev polynomials, On polynomials of best approximation, Extremal signatures, An explicit class of min-max polynomials on the ball and on the sphere

Cites Work

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• Tchebycheff polynomials on a triangular region
• Invalidity of the elements of best approximation and a theorem of Glaeser
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• Bivariate Polynomials of Least Deviation from Zero
• A Unified Approach to Certain Problems of Approximation and Minimization