On the Generating Function for Bernstein Polynomials
Abstract
The aim of this paper is to give main properties of the generating function of the Bernstein polynomials. We prove recurrence relations and derivative formula for Bernstein polynomials. Furthermore, some new results are obtained by using this generating function of these polynomials.
- Publication:
-
Icnaam 2010: International Conference of Numerical Analysis and Applied Mathematics 2010
- Pub Date:
- September 2010
- DOI:
- 10.1063/1.3497855
- Bibcode:
- 2010AIPC.1281.1141A
- Keywords:
-
- functional analysis;
- numerical analysis;
- interpolation;
- 02.30.Sa;
- 02.60.Cb;
- 02.60.Ed;
- Functional analysis;
- Numerical simulation;
- solution of equations;
- Interpolation;
- curve fitting