Relative differentiability and integral representation of a class of weak Markov systems

DOI10.1016/0021-9045(85)90065-6zbMath0584.41013OpenAlexW1989826059MaRDI QIDQ1070471

Roland Zielke

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-9045(85)90065-6

zbMATH Keywords

Markov systemsChebyshev system

Mathematics Subject Classification ID

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

Related Items (12)

Integral representation of Markov systems and the existence of adjoined functions for Haar spaces ⋮ An elementary proof of the oscillation lemma for weak Markov systems ⋮ Integral representation of normalized weak Markov systems ⋮ Nondegeneracy and integral representation of weak Markov systems ⋮ Oscillation spaces ⋮ A characterization of Descartes systems in Haar subspaces ⋮ Integral representation and embedding of weak Markov systems ⋮ Strictly totally positive systems ⋮ Extensions of endpoint equivalent and periodic Tchebycheff systems ⋮ Splicing of Markov and weak Markov systems ⋮ On extending the domain of definition of Chebyshev and weak Chebyshev systems ⋮ Some properties of Markov systems

Cites Work

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• Embedding of weak Markov systems
• Degeneracy in WT-spaces
• Characterization of WT-spaces whose derivatives form a WT-space
• Discontinuous Cebysev systems
• On transforming a Tchebycheff system into a complete Tchebycheff system
• On Tschebycheffian spline functions
• Subspaces of weak and oriented Tchebyshev-spaces
• Integral representation of Tchebycheff systems
• Alternation properties of Tchebyshev-systems and the existence of adjoined functions

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