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On dual functionals of polynomials in B-form. (English) Zbl 0738.41014
The space of polynomials in $$B$$-form, i.e. polynomials in Bernstein, Bézier, or de Casteljan representation, is considered. The author gives an explicit representation of its dual space. Using this space, the $$B$$- form of a monomial is expressed. The author gives a simple algorithm to convert a polynomial from its Taylor expansion to its $$B$$-form. Upper bounds for the basis element of the dual space are obtained and using these bounds the author improves some known estimates by giving explicit constants.
Reviewer: K.Najzar (Praha)

MSC:
 41A10 Approximation by polynomials
Full Text:
References:
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