Differentiability of nonlinear best approximation operator in a real inner product space

DOI10.1016/0021-9045(76)90067-8zbMath0339.41013OpenAlexW2086033899MaRDI QIDQ1230937

Jerry M. Wolfe

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1016/0021-9045(76)90067-8

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (5)

Best approximations from Hilbert submanifolds ⋮ The Lipschitz continuity of the metric projection ⋮ Nonlinear \(L_ p \)approximation for \(1<p<2\) ⋮ Nonlinear \(L_1\) approximation of smooth functions ⋮ Continuity of metric projections in uniformly convex and uniformly smooth Banach spaces

Cites Work

• L\(_p\) rational approximation
• On the unicity of nonlinear approximation in smooth spaces
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