Uniform boundedness of some trigonometric polynomials of many variables (Q1101912)
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: Uniform boundedness of some trigonometric polynomials of many variables |
scientific article; zbMATH DE number 4048321
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniform boundedness of some trigonometric polynomials of many variables |
scientific article; zbMATH DE number 4048321 |
Statements
Uniform boundedness of some trigonometric polynomials of many variables (English)
0 references
1987
0 references
The paper deals with uniform boundedness of trigonometric polynomials of several variables \[ \sum_{(n_ 1,...,n_ m)\in A}\frac{\sin n_ 1x_ 1}{n_ 1}...\frac{\sin n_ mx_ m}{n_ m}, \] where the sum is taken over all ``integer'' points of an arbitrary domain \(A\subset (0,\infty)^ m\) which is ``convex with respect to all coordinate directions''.
0 references
uniform boundedness
0 references
trigonometric polynomials
0 references
