On the unicity of best \(L_ 1\)-approximation by polynomials of several variables

DOI10.1007/BF01956778zbMath0549.41018OpenAlexW2002661777MaRDI QIDQ800585

András Kroó

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1007/bf01956778

zbMATH Keywords

Chebyshev polynomialsbest \(L_ 1\)-approximationHaar subspacesKorkin-Zolotarjov type extremal problemrelatively prime polynomials

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Multidimensional problems (41A63) Approximation by polynomials (41A10) Uniqueness of best approximation (41A52)

Related Items (3)

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

Cites Work

• Unnamed Item
• Some theorems on Cebysev approximation. II
• Chebyshev polynomials of several variables
• Some theorems on unicity of multivariateL 1-approximation

This page was built for publication: On the unicity of best \(L_ 1\)-approximation by polynomials of several variables