Strong unicity of best uniform approximations from periodic spline spaces

DOI10.1006/jath.1998.3308zbMath0941.41014OpenAlexW2065154646MaRDI QIDQ1300141

Frank Zeilfelder

Publication date: 1 August 2000

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

Full work available at URL: https://doi.org/10.1006/jath.1998.3308

zbMATH Keywords

spline approximationbest uniform approximation

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50)

Cites Work

• Weak Chebyshev subspaces and alternation
• Another characterization of Haar subspaces
• Zeros of spline functions and applications
• Uniqueness of best \(L_ 1\)-approximations from periodic spline spaces
• Characterizations of strong unicity in approximation theory
• Equioscillation under nonuniqueness in the approximation of continuous functions
• 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
• Best approximation by free knot splines
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