Article ID Journal Published Year Pages File Type
4628113 Applied Mathematics and Computation 2014 14 Pages PDF
Abstract

In this paper we discuss convergence properties and error estimates of rational Bernstein operators introduced by Piţul and Sablonnière. It is shown that the rational Bernstein operators converge to the identity operator if and only if the maximal difference between two consecutive nodes is converging to zero. Further a Voronovskaja theorem is given based on the explicit computation of higher order moments for the rational Bernstein operator.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
,