TITLE

INTEGRATION OF JACOBI AND WEIGHTED BERNSTEIN POLYNOMIALS USING BASES TRANSFORMATIONS

AUTHOR(S)
Rababah, Abedallah
PUB. DATE
July 2007
SOURCE
Computational Methods in Applied Mathematics;2007, Vol. 7 Issue 3, p221
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
This paper presents methods to compute integrals of the Jacobi polynomials by the representation in terms of the Bernstein -- Bézier basis. We do this because the integration of the Bernstein -- Bézier form simply corresponds to applying the de Casteljau algorithm in an easy way. Formulas for the definite integral of the weighted Bernstein polynomials are also presented. Bases transformations are used. In this paper, the methods of integration enable us to gain from the properties of the Jacobi and Bernstein bases.
ACCESSION #
27056961

 

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