Totally positive functions through nonstationary subdivision schemes (Q859886)
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: Totally positive functions through nonstationary subdivision schemes |
scientific article; zbMATH DE number 5117682
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Totally positive functions through nonstationary subdivision schemes |
scientific article; zbMATH DE number 5117682 |
Statements
Totally positive functions through nonstationary subdivision schemes (English)
0 references
22 January 2007
0 references
The goal of the paper is to use nonstationary subdivision schemes for constructing symmetric and totally positive functions having the same support but higher smoothness than B-splines. In particular, the authors construct totally positive symmetric functions with support of length \( n \) and smoothness \(C^{n-1}. \) It is shown that the constructed nonstationary subdivision schemes are asymptotically equivalent to the stationary subdivision schemes associated with a B-spline of suitable degree.
0 references
total positivity
0 references
B-splines
0 references
