Existence of Tchebycheff extensions

DOI10.1016/0022-247X(75)90141-9zbMath0303.41031MaRDI QIDQ1216579

Richard A. Zalik

Publication date: 1975

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

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)

Adjoining a constant function to \(n\)-dimensional Chebyshev space ⋮ On Tchebysheff Systems ⋮ Integral representation of Markov systems and the existence of adjoined functions for Haar spaces ⋮ Representations of weak tchebycheff systems ⋮ On \(A\)-spaces and their relation to the Hobby-Rice theorem ⋮ On transforming a Tchebycheff system into a complete Tchebycheff system ⋮ Extension of periodic Tchebycheff systems ⋮ Best \(L^1\) approximation by weak Chebyshev systems and the uniqueness of interpolating perfect splines ⋮ A characterization of Tchebycheff systems ⋮ Integral representation and embedding of weak Markov systems ⋮ Extensions of endpoint equivalent and periodic Tchebycheff systems ⋮ Smoothness Properties of Generalized Convex Functions

Cites Work

• Equioscillation under nonuniqueness in the approximation of continuous functions
• Remarks on Haar systems
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