Strong unicity of best approximations : A numerical aspect

DOI10.1080/01630568308816174zbMath0541.41030OpenAlexW2056870661MaRDI QIDQ3327092

Günther Nürnberger

Publication date: 1983

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://ub-madoc.bib.uni-mannheim.de/1929/1/1983_60.pdf

zbMATH Keywords

characterizationStabilityextremal subsetsweak Chebyshev spacesquadratic convergence of a spline algorithmunique best uniform approximations

Mathematics Subject Classification ID

Uniqueness of best approximation (41A52) Spline approximation (41A15) Algorithms for approximation of functions (65D15) Numerical approximation and computational geometry (primarily algorithms) (65D99)

Related Items

Strong unicity in normed linear spaces, Strong uniqueness of best spline approximation for a class of piecewise N-convex functions, Strong uniqueness, Lipschitz continuity, and continuous selections for metric projections in \(L_1\)

Cites Work

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• A local version of haar's theorem in approximation theory
• Characterization of Chebyshev Approximations by Splines
• Uniqueness and Differential Characterization of Approximations from Manifolds of Functions