Approximation by complex Bernstein-Schurer and Kantorovich-Schurer polynomials in compact disks
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. © 2009 Elsevier Ltd. All rights reserved.
Publication Title
Computers and Mathematics with Applications
Recommended Citation
Anastassiou, G., & Gal, S. (2009). Approximation by complex Bernstein-Schurer and Kantorovich-Schurer polynomials in compact disks. Computers and Mathematics with Applications, 58 (4), 734-743. https://doi.org/10.1016/j.camwa.2009.04.009
