Approximation by complex perturbed Bernstein-type operators (Q780046)
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: Approximation by complex perturbed Bernstein-type operators |
scientific article; zbMATH DE number 7220542
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximation by complex perturbed Bernstein-type operators |
scientific article; zbMATH DE number 7220542 |
Statements
Approximation by complex perturbed Bernstein-type operators (English)
0 references
14 July 2020
0 references
The authors introduce the complex form of the perturbed Bernstein operators attached to analytic functions \(f:D_R\to\mathbb{C}\), where \(D_R=\{z\in\mathbb{C}\, \vert\, \vert z \vert < 1 \}\) and \(R>1\). Quantitative estimates of the convergence in compact disks and the exact degree of simultaneous approximation are established.
0 references
complex Bernstein operator
0 references
perturbed Bernstein operator
0 references
quantitative estimates
0 references
simultaneous approximation
0 references
equivalence
0 references
0 references
