Approximation by complex Bernstein and convolution type operators /
The monograph, as its first main goal, aims to study the overconvergence phenomenon of important classes of Bernstein-type operators of one or several complex variables, that is, to extend their quantitative convergence properties to larger sets in the complex plane rather than the real intervals. T...
| Основен автор: | Gal, Sorin G., 1953- |
|---|---|
| Автор-организации: | World Scientific (Firm) |
| Формат: | Електронна книга |
| Език: | English |
| Публикувано: |
Singapore ; Hackensack, N.J. :
World Scientific Pub. Co.,
℗♭2009.
|
| Серия: |
Series on concrete and applicable mathematics ;
v. 8. |
| Предмети: | |
| Онлайн достъп: |
http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=340525 |
Съдържание:
- 1. Bernstein-type operators of one complex variable. 1.0. Auxiliary results in complex analysis. 1.1. Berstein polynomials. 1.2. Iterates of Bernstein polynomials. 1.3. Generalized Voronovskaja theorems for Bernstein polynomials. 1.4. Butzer's linear combination of Bernstein polynomials. 1.5. q-Bernstein polynomials. 1.6. Bernstein-Stancu polynomials. 1.7. Bernstein-Kantorovich type polynomials. 1.8. Favard-Szasz-Mirakjan operators. 1.9. Baskakov operators. 1.10. Balazs-Szabados operators. 1.11. Bibliographical notes and open problems
- 2. Bernstein-type operators of several complex variables. 2.1. Introduction. 2.2. Bernstein polynomials. 2.3. Favard-Szasz-Mirakjan operators. 2.4. Baskakov operators. 2.5. Bibliographical notes and open problems
- 3. Complex convolutions. 3.1. Linear polynomial convolutions. 3.2. Linear non-polynomial convolutions. 3.3. Nonlinear complex convolutions. 3.4. Bibliographical notes and open problems.