Strongly unique spline approximations with free knots

DOI10.1007/BF01890551zbMath0621.41008MaRDI QIDQ1089849

Günther Nürnberger

Publication date: 1987

Published in: Constructive Approximation (Search for Journal in Brave)

zbMATH Keywords

numerical resultssupremum normsplines with free knotsstrongly unique best spline approximations

Mathematics Subject Classification ID

Uniqueness of best approximation (41A52) Spline approximation (41A15)

Related Items (5)

Strong unicity in nonlinear approximation and free knot splines ⋮ Bivariate segment approximation and free knot splines: Research Problems 96-4 ⋮ Connectedness and other geometric properties of suns and Chebyshev sets ⋮ The metric projection for free knot splines ⋮ Approximation in normed linear spaces

Cites Work

• An algorithm for the computation of strict approximations in subspaces of spline functions
• Alternation for best spline approximations
• A Remez type algorithm for spline functions
• Eine Klasse von Verfahren zur Ermittlung bester nichtlinearer Tschebyscheff-Approximationen
• On alternation numbers in nonlinear Chebyshev approximation
• On uniqueness of best spline approximations with free knots
• Chebyshev approximation by spline functions with free knots
• On monosplines of least deviation
• A local version of haar's theorem in approximation theory
• Uniform Approximation by Chebyshev Spline Functions. II: Free Knots
• Uniqueness and Differential Characterization of Approximations from Manifolds of Functions
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