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Asymptotic behaviour of best \(l_p\)-approximations from affine subspaces

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Publication:1680863
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DOI10.1006/jath.2002.3724zbMath1374.41050OpenAlexW2006207959MaRDI QIDQ1680863

Juan Navas, Juan Martínez Moreno, José María Quesada

Publication date: 17 November 2017

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.2002.3724


zbMATH Keywords

rate of convergenceasymptotic expansionPolya algorithmstrict best approximation


Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Rate of convergence, degree of approximation (41A25)


Related Items (3)

Taylor expansion of best \(l_{p}\)-approximations about \(p\) = 1 ⋮ Asymptotic expression of the linear discrete best \(\ell_{p}\)-approximation ⋮ On best \(p\)-approximation from affine subspaces: Asymptotic expansion



Cites Work

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  • Rate of convergence of the discrete Pólya algorithm
  • The linear discrete Pólya algorithm
  • Tchebycheff approximation in a compact metric space
  • Linear Minimax Approximation as the Limit of Best $L_p $-Approximation
  • Approximations in $L^p $ and Chebyshev Approximations
  • Rate of convergence of the linear discrete Pólya algorithm


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