The Chebyshev rank of multivariate polynomials in \(L^1\)-approximation

DOI10.1016/j.jat.2010.04.003zbMath1208.41018OpenAlexW1997416428MaRDI QIDQ1958432

Manfred Sommer

Publication date: 29 September 2010

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2010.04.003

zbMATH Keywords

dimension of space spanned by best approximations

Mathematics Subject Classification ID

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

Related Items (1)

On the Chebyshev rank of multivariate splines in \(L^1\)-approximation

Cites Work

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• On the unicity of best \(L_ 1\)-approximation by polynomials of several variables
• Some theorems on unicity of multivariateL 1-approximation
• Weak Chebyshev Subspaces and A-Subspaces of C [ a, b ]
• Spline Functions on Triangulations
• Examples of unicity subspaces in L₁-approximation
• Chebyshev Rank in L 1 -Approximation

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