Uniqueness of best \(L_ 1\)-approximations from periodic spline spaces

DOI10.1016/0021-9045(89)90014-2zbMath0685.41018OpenAlexW1968082861MaRDI QIDQ1826060

Günther Nürnberger, Günter Meinardus

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-9045(89)90014-2

zbMATH Keywords

periodic splinesbest \(L_ 1\)-approximationweak Chebyshev

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Uniqueness of best approximation (41A52) Spline approximation (41A15)

Related Items (3)

A smooth approximation for the solution of a fourth-order boundary value problem based on nonpolynomial splines ⋮ Uniqueness of periodic best \(L^{1}\)-approximations ⋮ Strong unicity of best uniform approximations from periodic spline spaces

Cites Work

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• Best \(L_ 1\)-approximation
• Weak Chebyshev spaces and best L//1-approximation
• Discontinuous Cebysev systems
• Weak Chebyshev subspaces and alternation

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