Some theorems on unicity of multivariateL 1-approximation

DOI10.1007/BF01897319zbMath0527.41016OpenAlexW1989130875MaRDI QIDQ3308517

András Kroó

Publication date: 1982

Published in: Acta Mathematica Academiae Scientiarum Hungaricae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01897319

zbMATH Keywords

Haar subspaceunicity spacemultivariable polynomial mean approximation

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Uniqueness of best approximation (41A52)

Related Items (7)

Examples of unicity subspaces in L₁-approximation ⋮ A general approach to the study of Chebyshev subspaces in \(L_ 1\)- approximation of continuous functions ⋮ 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 ⋮ Some theorems on best \(L_ 1\)-approximation of continuous functions ⋮ On the unicity of best \(L_ 1\)-approximation by polynomials of several variables

Cites Work

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• On uniqueness of \(L_1\)-approximation for certain families of spline functions
• The uniqueness of the element of best mean approximation to a continuous function using splines with fixed nodes
• Haar polynomials on Cartesian product spaces
• Some theorems on Cebysev approximation
• On Haar's Theorem Concerning Chebychev Approximation Problems Having Unique Solutions
• Approximation von Funktionen bei einer und bei mehreren unabhängigen Veränderlichen
• Some uniqueness problems in approximation theory
• BestL 1-approximation of vector valued functions
• Approximation in the Metric of L 1 (X,μ)

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