Taylor expansion of best \(l_{p}\)-approximations about \(p\) = 1

DOI10.1016/S0893-9659(03)90085-1zbMath1056.41018MaRDI QIDQ1431962

J. Fernández-Ochoa, Juan Martínez Moreno, Juan Navas, José María Quesada

Publication date: 11 June 2004

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

Taylor's expansionBest \(k_p\)-approximationNatural best \(k_1\)-approximationPolya 1-algorithm

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Cites Work

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• The convergence of the best discrete linear \(L_ p\) approximation as p\(\to 1\)
• Natural choice of \(L_ 1-\)approximants
• Rate of convergence of the discrete Pólya-1 algorithm
• Asymptotic behaviour of best \(l_p\)-approximations from affine subspaces
• Rate of convergence of the linear discrete Pólya 1-algorithm
• The linear discrete Pólya algorithm
• Rate of convergence of the linear discrete Pólya algorithm

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