| Article ID: | iaor2014211 |
| Volume: | 64 |
| Issue: | 4 |
| Start Page Number: | 699 |
| End Page Number: | 706 |
| Publication Date: | Dec 2013 |
| Journal: | Numerical Algorithms |
| Authors: | Inoan Daniela, Rasa Ioan |
| Keywords: | random walk, Chebyshev |
The Bernstein operators of second kind were introduced by Paolo Soardi in 1990, in terms of a random walk on a certain hypergroup. They have the same relation with Chebyshev polynomials of second kind as the classical Bernstein operators have with Chebyshev polynomials of first kind. In this paper we describe a de Casteljau type algorithm for these operators.