BIT Numerical Mathematics

, Volume 37, Issue 1, pp 232–236 | Cite as

A de Casteljau algorithm for generalized Bernstein polynomials

  • George M. Phillips
Scientific Notes

Abstract

This paper is concerned with a generalization of the classical Bernstein polynomials where the function is evaluated at intervals which are in geometric progression. It is shown that these polynomials can be generated by a de Casteljau algorithm, which is a generalization of that relating to the classical case.

AMS subject classification

41A10 

Key words

Bernstein polynomial de Casteljau algorithm 

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Copyright information

© BIT Foundation 1997

Authors and Affiliations

  • George M. Phillips
    • 1
  1. 1.Mathematical InstituteUniversity of St AndrewsFifeSt AndrewsScotland

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