Article ID Journal Published Year Pages File Type
4631415 Applied Mathematics and Computation 2010 8 Pages PDF
Abstract

In this paper, the order of simultaneous approximation and Voronovskaja kind results with quantitative estimate for the complex genuine Durrmeyer polynomials attached to analytic functions on compact disks are obtained. In this way, we put in evidence the overconvergence phenomenon for the genuine Durrmeyer polynomials, namely the extensions of the approximation properties (with quantitative estimates) from real intervals to compact disks in the complex plane.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
,