\(L_ p\)-approximation from nonconvex subsets of special classes of functions (Q1825392)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: \(L_ p\)-approximation from nonconvex subsets of special classes of functions |
scientific article; zbMATH DE number 4120722
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(L_ p\)-approximation from nonconvex subsets of special classes of functions |
scientific article; zbMATH DE number 4120722 |
Statements
\(L_ p\)-approximation from nonconvex subsets of special classes of functions (English)
0 references
1989
0 references
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.
0 references
quasi-convex functions
0 references
\(L_ p\)-bounded subsets
0 references
super-additive
0 references
star- shaped
0 references
n-convex functions
0 references
0 references
