Strong unicity constants for spline functions

DOI10.1080/01630568308816144zbMath0516.41011OpenAlexW2146234613MaRDI QIDQ3663771

Günther Nürnberger

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1080/01630568308816144

zbMATH Keywords

uniform normstrongly unique best approximationstrong unicity constant

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Uniqueness of best approximation (41A52) Spline approximation (41A15)

Related Items (3)

Strong uniqueness of best spline approximation for a class of piecewise N-convex functions ⋮ Strong unicity of best approximations : A numerical aspect ⋮ Uniqueness of best approximation with coefficient constraints

Cites Work

• Weak Chebyshev subspaces and alternation
• On an unboundedness conjecture for strong unicity constants
• Characterizations of strong unicity in approximation theory
• Lipschitz conditions on uniform approximation operators
• Equioscillation under nonuniqueness in the approximation of continuous functions
• Chebyshev approximation by spline functions with free knots
• Some theorems on Cebysev approximation
• On monosplines of least deviation
• A local version of haar's theorem in approximation theory
• Uniform Approximation by Chebyshev Spline Functions. II: Free Knots
• Characterization of Chebyshev Approximations by Splines
• Uniqueness and Differential Characterization of Approximations from Manifolds of Functions
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