Subspaces of weak and oriented Tchebyshev-spaces

DOI10.1007/BF01171129zbMath0356.41017MaRDI QIDQ1237903

Bernd Stockenberg

Publication date: 1977

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154451

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items

Unicity of best one-sided L¹-approximations for certain classes of spline functions, Properties of unicity subspaces in \(L_ 1\)-approximation, On Tchebysheff Systems, Weak Tchebyshev-spaces and generalizations of a theorem by Krein, Eindeutigkeit in der \(L_1\)-Approximation, Unicity of best one-sided L//1-approximations, A short proof that every weak Tchebycheff system may be transformed into a weak Markov system, Uniqueness of best \(\varphi\)-approximation from the set of splines with infinitely many simple knots, Oscillation spaces, Strictly totally positive systems, Interpolation by generalized splines, Weak Chebyshev spaces and best L//1-approximation, Embedding of weak Markov systems, Some hereditary properties of WT-systems, Uniqueness of best Chebyshev approximations in spline subspaces, Relative differentiability and integral representation of a class of weak Markov systems

Cites Work

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• Tchebyshev systems that cannot be transformed into Markov systems
• On transforming a Tchebyshev-system into a Markov-system
• Alternation properties of Tchebyshev-systems and the existence of adjoined functions
• Equioscillation under nonuniqueness in the approximation of continuous functions
• A remark on periodic Tchebyshev systems