Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
474019 | Computers & Mathematics with Applications | 2009 | 10 Pages |
Abstract
In this paper, the order of simultaneous approximation and Voronovskaja-type results with quantitative estimate for complex Bernstein–Schurer and Kantorovich–Schurer polynomials attached to analytic functions on compact disks are obtained. In this way, we put in evidence the overconvergence phenomenon for the Bernstein–Schurer polynomials, namely the extensions of approximation properties (with quantitative estimates) from real intervals to compact disks in the complex plane.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
George A. Anastassiou, Sorin G. Gal,