Embedding an arbitrary function into a Tchebycheff space

DOI10.1016/0021-9045(77)90109-5zbMath0375.41016OpenAlexW2042561525MaRDI QIDQ1246101

B. Gopinath, Robert Kurshan

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1016/0021-9045(77)90109-5

Mathematics Subject Classification ID

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

Related Items (5)

Embedding a function into a Haar space ⋮ On the embedding problem for Cebysev systems ⋮ Every T-space is equivalent to a T-space of continuous functions ⋮ The existence in T-spaces of functions with prescribed alternations ⋮ The oscillation theorem for Tchebycheff spaces of bounded functions, and a converse

Cites Work

• 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
• Development in a new direction of the Čebyšev-Markov theory of limiting values of integrals
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