The relative \(n\)-widths of Sobolev classes with restrictions (Q1011484)
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: The relative \(n\)-widths of Sobolev classes with restrictions |
scientific article; zbMATH DE number 5541720
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The relative \(n\)-widths of Sobolev classes with restrictions |
scientific article; zbMATH DE number 5541720 |
Statements
The relative \(n\)-widths of Sobolev classes with restrictions (English)
0 references
8 April 2009
0 references
For the Sobolev classes \(W^1_p[0,1]\), this paper deals with the relative \(n\)-width of the set \(B_p^1=\{f \in W^1_p: f(0)=0\}\). It is shown that, for various values of \(p,q\), \(d_n(B^1_p,B^1_p)_q\) is equal to \(\frac{\sup\{\|f\|_q [0,1]: f \in B^1_p\}}{2n}\).
0 references
Sobolev classes
0 references
relative \(n\)-width
0 references
0 references
0 references
