Integration of Jacobi and Weighted Bernstein Polynomials Using Bases Transformations
2007 ◽
Vol 7
(3)
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pp. 221-226
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AbstractThis paper presents methods to compute integrals of the Jacobi polynomials by the representation in terms of the Bernstein — B´ezier basis. We do this because the integration of the Bernstein — B´ezier 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.
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2015 ◽
Vol 39
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pp. 1-16
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