On the \(L_1\)-condition number of the univariate Bernstein basis

DOI10.1007/s00365-002-0507-0zbMath1022.41004OpenAlexW2102700127MaRDI QIDQ1862755

Karl Scherer, Tom Lyche

Publication date: 30 October 2003

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-002-0507-0

zbMATH Keywords

Bernstein basis\(L_1\)-approximationapprox by polynomialsconditions number

Mathematics Subject Classification ID

Approximation by polynomials (41A10)

Related Items

Polynomial bases on the numerical solution of the multivariate discrete moment problem, On condition numbers of a basis, Uniformly Conditioned Bases of Spectral Subspaces, On the \(p\)-norm condition number of the multivariate triangular Bernstein basis

Cites Work

• A note on the condition numbers of the B-spline bases
• The exact condition of the B-spline basis may be hard to determine
• New upper bound for the \(B\)-spline basis condition number II. A proof of de Boor's \(2^k\)-conjecture
• On the \(p\)-norm condition number of the multivariate triangular Bernstein basis
• The degenerate B-splines as a basis in the space of algebraic polynomials
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