Article ID Journal Published Year Pages File Type
1709229 Applied Mathematics Letters 2011 8 Pages PDF
Abstract

In this paper, the order of simultaneous approximation and Voronovskaja-type theorems with quantitative estimate for complex Bernstein–Durrmeyer-type polynomials attached to analytic functions on compact disks are obtained. Our results show that extension of the complex Bernstein–Durrmeyer-type polynomials from real intervals to compact disks in the complex plane extends approximation properties.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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