Interpolatory properties of best \(L_ 1\)-approximants

DOI10.1007/BF01163659zbMath0635.41004MaRDI QIDQ1097425

Franz Peherstorfer, András Kroó

Publication date: 1987

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173879

zbMATH Keywords

upper estimatesinterpolation points

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Interpolation in approximation theory (41A05)

Related Items (4)

Sequences with equi-distributed extreme points in uniform polynomial approximation ⋮ On density of interpolation points, a Kadec-type theorem, and Saff's principle of contamination in \(L_ p\)-approximation ⋮ Distribution of interpolation points of best \(L_ 2\)-approximants (\(n\)th partial sums of Fourier series) ⋮ Interpolatory properties of best \(L_ 2\)-approximants

Cites Work

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• Discontinuous Cebysev systems
• On the representation of extremal functions in the \(L^1\)-norm
• On an \(L^1\)-approximation problem
• Chebyshev Rank in L 1 -Approximation
• The Existence and Unicity of Best Approximations.

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