\(L_ p\)-approximation from nonconvex subsets of special classes of functions
type: Item
instance of: scholarly article
title: \(L_ p\)-approximation from nonconvex subsets of special classes of functions
zbMATH Open document ID: 0684.41016
DOI: 10.1016/0021-9045(89)90058-0
author: V. A. Ubhaya
published in: Journal of Approximation Theory
publication date: 1989-01-01T00:00:00Z
review text: The author establishes an existence theorem for a best approximation to a function in \(L_ p\), \(1\leq p\leq \infty\), by functions from a not necessarily convex set under certain general conditions on the set. In addition, properties of \(L_ p\)-bounded subsets are investigated. The unifying development and results are applicable to approximation from subsets of various classes of functions including quasi-convex, convex, super-additive, star-shaped, monotone, and n-convex functions.
Mathematics Subject Classification ID: 41A50
zbMATH DE Number: 4120722
zbMATH Keywords: quasi-convex functions
zbMATH Keywords: \(L_ p\)-bounded subsets
zbMATH Keywords: super-additive
zbMATH Keywords: star- shaped
zbMATH Keywords: n-convex functions
MaRDI profile type: Publication
full work available at URL: 0021-9045(89)90058-0
OpenAlex ID: W1973083480
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description: scientific article; zbMATH DE number 4120722