Best approximation with prescribed norm

DOI10.1016/0021-9045(80)90111-2zbMath0457.41022OpenAlexW2032113980MaRDI QIDQ1150772

G. Alistair Watson

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)90111-2

zbMATH Keywords

constrained best approximation

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Isomorphic theory (including renorming) of Banach spaces (46B03) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation with constraints (41A29)

Cites Work

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• Uniform approximation with constraints
• Characterization of best Chebyshev approximations with prescribed norm
• A class of programming problems whose objective function contains a norm
• First and second order conditions for a class of nondifferentiable optimization problems

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