Uniform approximation by a non-convex cone of continuous functions

DOI10.1016/0021-9045(92)90102-TzbMath0746.41024OpenAlexW2032891866MaRDI QIDQ1183170

Vasant A. Ubhaya

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1016/0021-9045(92)90102-t

zbMATH Keywords

bounded sigmoidal function

Mathematics Subject Classification ID

Approximation by other special function classes (41A30)

Cites Work

• Best quasi-convex uniform approximation
• Lipschitzian selections in best approximation by continuous functions
• Characterizations of continuous and Lipschitz continuous metric selections in normed linear spaces
• Quasi-convex optimization
• Optimal Lipschitzian selection operator in quasi-convex optimization
• An O(n) algorithm for least squares quasi-convex approximation
• Isotonic approximation in \(L_ s\).
• Natural choice of \(L_ 1-\)approximants
• Convex analysis and measurable multifunctions
• \(L_ p\)-approximation from nonconvex subsets of special classes of functions
• A survey of metric selections
• Another Proof that Convex Functions are Locally Lipschitz
• Seven Kinds of Convexity
• Arcwise Convex Sets
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