Examples of unicity subspaces in L1-approximation

DOI10.1080/01630568708816228zbMath0584.41012OpenAlexW1972443202MaRDI QIDQ3709229

Manfred Sommer

Publication date: 1987

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630568708816228

zbMATH Keywords

weighted approximationexamplesbivariate polynomialsA-propertybivariate linear B- splineslinear bivariate spline functionsuniqueness of best \(L_ 1\)- approximationsweighted best \(L_ 1\)-approximation

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Spline approximation (41A15)

Related Items (5)

Properties of unicity subspaces in \(L_ 1\)-approximation ⋮ Necessary conditions for uniqueness in \(L^ 1\)-approximation ⋮ The Chebyshev rank of multivariate polynomials in \(L^1\)-approximation ⋮ On the Chebyshev rank of multivariate splines in \(L^1\)-approximation ⋮ Almost Chebyshev properties for \(L^ 1\)-approximation of continuous functions

Cites Work

• Best \(L_ 1\)-approximation
• On the unicity of best \(L_ 1\)-approximation by polynomials of several variables
• Weak Chebyshev spaces and best L//1-approximation
• Some theorems on best \(L_ 1\)-approximation of continuous functions
• Eindeutigkeit in der \(L_1\)-Approximation
• On uniqueness of \(L_1\)-approximation for certain families of spline functions
• Some theorems on unicity of multivariateL 1-approximation
• Some results on best L¹-approximation of continuous functions
• On an L 1 -Approximation Problem
• Unnamed Item

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