Bernstein widths of some classes of functions defined by a self-adjoint operator (Q642814)
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: Bernstein widths of some classes of functions defined by a self-adjoint operator |
scientific article; zbMATH DE number 5964475
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bernstein widths of some classes of functions defined by a self-adjoint operator |
scientific article; zbMATH DE number 5964475 |
Statements
Bernstein widths of some classes of functions defined by a self-adjoint operator (English)
0 references
27 October 2011
0 references
Summary: We consider the classes of periodic functions with formal self-adjoint linear differential operators \(W_p(\mathcal L_r)\), which include the classical Sobolev class as its special case. Using the iterative method of Buslaev, we determine with the help of the spectrum of linear differential equations the exact values of Bernstein width of the classes \(W_p(\mathcal L_r)\) in the space \(L_q\) for \(1 < p \leq q < \infty\).
0 references
0 references
