Some theorems on best \(L_ 1\)-approximation of continuous functions

DOI10.1007/BF01950298zbMath0567.41028OpenAlexW2021111309MaRDI QIDQ1059807

András Kroó

Publication date: 1984

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01950298

zbMATH Keywords

vector-valued functionscomplex splinesbest \(L_ 1\)-approximation

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Spline approximation (41A15)

Related Items (max. 100)

Examples of unicity subspaces in L₁-approximation ⋮ A general approach to the study of Chebyshev subspaces in \(L_ 1\)- approximation of continuous functions ⋮ Properties of unicity subspaces in \(L_ 1\)-approximation ⋮ Some results on best L¹-approximation of continuous functions

Cites Work

• Unnamed Item
• Weak Chebyshev spaces and best L//1-approximation
• 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
• L\(_1\) approximation of vector-valued functions
• Some theorems on unicity of multivariateL 1-approximation
• BestL 1-approximation of vector valued functions
• Approximation in the Metric of L 1 (X,μ)

This page was built for publication: Some theorems on best \(L_ 1\)-approximation of continuous functions