Tchebyshev systems that cannot be transformed into Markov systems

DOI10.1007/BF01154283zbMath0314.41023MaRDI QIDQ1220672

Roland Zielke

Publication date: 1975

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

Full work available at URL: https://eudml.org/doc/154357

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items

A test for Chebyshev systems, One-codimensional Tchebycheff subspaces, Some criteria and properties of Chebyshev systems, Weak Tchebyshev-spaces and generalizations of a theorem by Krein, The general Neville-Aitken-algorithm and some applications, On complete Tchebycheff-systems, Subspaces of weak and oriented Tchebyshev-spaces, Concertina-like movements of the error curve in the alternation theorem, Eigenschaften von schwach tschebyscheffschen Räumen, Embedding an arbitrary function into a Tchebycheff space, Korovkin shadows and Korovkin systems in C(S)-spaces, Interpolation by generalized splines

Cites Work

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• On transforming a Tchebyshev-system into a Markov-system
• Alternation properties of Tchebyshev-systems and the existence of adjoined functions
• Remarks on Haar systems