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

Published online by Cambridge University Press:  17 February 2009

George M. Phillips
Affiliation:
Mathematical Institute, University of St Andrews, St Andrews, Scotland.
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Abstract

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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.

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Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2000