Continuity of the strong unicity constant on C(X) for changing X

DOI10.1016/0021-9045(80)90106-9zbMath0429.41022OpenAlexW2049401952MaRDI QIDQ1137739

Martin W. Bartelt

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0021-9045(80)90106-9

zbMATH Keywords

compact metric spaceChebyshev approximationstrong unicity

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50)

Related Items (4)

Local and global Lipschitz constants ⋮ On Poreda's problem on the strong unicity constants ⋮ Orders of strong unicity constants ⋮ Generalized strong unicity constants in linear uniform approximation

Cites Work

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• Non-strong uniqueness in real and complex Chebyshev approximation
• On Lipschitz conditions, strong unicity and a theorem of A. K. Cline
• Another characterization of Haar subspaces
• Uniform Lipschitz constants on small intervals
• Nearby linear Chebyshev approximation
• On an unboundedness conjecture for strong unicity constants
• Characterizations of strong unicity in approximation theory
• Lipschitz conditions on uniform approximation operators
• Some theorems on Cebysev approximation
• Counterexamples in Best Approximation
• Lipschitz and strong unicity constants for changing dimension

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