Article ID Journal Published Year Pages File Type
474019 Computers & Mathematics with Applications 2009 10 Pages PDF
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)
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