The ANZIAM Journal

Research Article

A generalization of the Bernstein polynomials based on the q-integers

George M. Phillipsa1

a1 Mathematical Institute, University of St Andrews, St Andrews, Scotland.

Abstract

This paper is concerned with a generalization of the Bernstein polynomials in which the approximated function is evaluated at points spaced in geometric progression instead of the equal spacing of the original polynomials.

(Received March 16 1998)