Inequalities between the best approximations and homogenizations of moduli of continuity in the space \(L_{2}\) (Q542323)
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: Inequalities between the best approximations and homogenizations of moduli of continuity in the space \(L_{2}\) |
scientific article; zbMATH DE number 5905499
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Inequalities between the best approximations and homogenizations of moduli of continuity in the space \(L_{2}\) |
scientific article; zbMATH DE number 5905499 |
Statements
Inequalities between the best approximations and homogenizations of moduli of continuity in the space \(L_{2}\) (English)
0 references
8 June 2011
0 references
Exact inequalities between the best approximations of periodic differentiable functions by trigonometric polynomials and \(m\)th-order moduli of continuity in \(L^2[0,\pi]\) are obtained. Exact values of \(n\)-widths are found for some classes of functions determined by moduli of continuity.
0 references
