Characterization of generalized Haar spaces

DOI10.1006/JATH.1996.3108zbMath0891.41017OpenAlexW2047783903MaRDI QIDQ1379571

Martin W. Bartelt, Wu Li

Publication date: 9 July 1998

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

Full work available at URL: https://digitalcommons.odu.edu/cgi/viewcontent.cgi?article=1141&context=mathstat_fac_pubs

zbMATH Keywords

Chebyshev subspaces of the spacegeneralized Haar spaces

Mathematics Subject Classification ID

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

Cites Work

• Best approximation in the space of continuous vector-valued functions
• Strong uniqueness and Lipschitz continuity of metric projections: A generalization of the classical Haar theory
• Strongly unique best approximation in uniformly convex Banach spaces
• Another characterization of Haar subspaces
• Smoothness of approximation
• Some theorems on Cebysev approximation
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