Sets of best approximation in certain classes of normed spaces

DOI10.1016/0021-9045(71)90029-3zbMath0219.41020OpenAlexW2035888884MaRDI QIDQ2547006

Le Baron O. Ferguson, Bruce L. Chalmers

Publication date: 1971

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

Full work available at URL: https://doi.org/10.1016/0021-9045(71)90029-3

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Best approximation, Chebyshev systems (41A50) Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items

Uniqueness of best approximation of a function and its derivatives ⋮ Taylor-like remainder formulas

Cites Work

• On certain extremum problems for analytic functions
• Some uniqueness problems in approximation theory
• A characterization of Haar subspaces in $C\left[ {a,b} \right$]
• Unicity in Approximation of a Function and Its Derivatives
• Chebyshev Approximations of a Function and Its Derivatives
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