Lipschitz continuity of the best approximation operator in vector-valued Chebyshev approximation

DOI10.1016/J.JAT.2007.12.002zbMath1161.41007OpenAlexW1983887512MaRDI QIDQ935071

Martin W. Bartelt, John J. Swetits

Publication date: 31 July 2008

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

Full work available at URL: https://digitalcommons.odu.edu/cgi/viewcontent.cgi?article=1054&context=mathstat_fac_pubs

zbMATH Keywords

best approximationChebyshev approximationHaar subspace

Mathematics Subject Classification ID

Approximation by operators (in particular, by integral operators) (41A35)

Cites Work

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• On strong uniqueness in linear Chebyshev approximation
• Lipschitz conditions, strong uniqueness, and almost Chebyshev subspaces of C(X)
• Best approximation in the space of continuous vector-valued functions
• Non-strong uniqueness in real and complex Chebyshev approximation
• Lipschitz continuity and Gateaux differentiability of the best approximation operator in vector-valued Chebyshev approximation
• Some theorems on Cebysev approximation

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