Lipschitzian selections in approximation from nonconvex sets of bounded functions

DOI10.1016/0021-9045(89)90111-1zbMath0673.41027OpenAlexW2079792408MaRDI QIDQ1120769

Vasant A. Ubhaya

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-9045(89)90111-1

zbMATH Keywords

best approximationLipschitzian selection operator

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (6)

Lipschitzian selections in best approximation by continuous functions ⋮ Duality and Lipschitzian selections in best approximation from nonconvex cones ⋮ Best approximation by integer-valued functions ⋮ Uniform approximation by classes of functions closed under translation and pointwise supremum ⋮ A comparative study of various notions of approximation of sets ⋮ Uniform approximation by classes of functions closed under translation and pointwise supremum

Cites Work

• Lipschitzian selections in best approximation by continuous functions
• Uniform approximation by quasi-convex and convex functions
• Lipschitz condition in minimum norm problems on bounded functions
• Complexity of approximation problems
• A survey of metric selections
• Another Proof that Convex Functions are Locally Lipschitz
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