Ismagilov type theorems for linear, Gel'fand and Bernstein \(n\)-widths (Q1908045)
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: Ismagilov type theorems for linear, Gel'fand and Bernstein \(n\)-widths |
scientific article; zbMATH DE number 850553
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ismagilov type theorems for linear, Gel'fand and Bernstein \(n\)-widths |
scientific article; zbMATH DE number 850553 |
Statements
Ismagilov type theorems for linear, Gel'fand and Bernstein \(n\)-widths (English)
0 references
31 October 1996
0 references
Using a variational principle for \(s\)-numbers, the authors prove estimates of the linear, Gel'fand, and Bernstein \(n\)-widths of a bounded linear operator. Exact values of \(n\)-widths for diagonal operators are determined. Finally, exact values of Bernstein \(n\)-widths for the Hardy-Sobolev classes are calculated.
0 references
linear \(n\)-widths
0 references
Gel'fand \(n\)-widths
0 references
widths
0 references
\(s\)-numbers
0 references
Bernstein \(n\)-widths
0 references
