On dual functionals of polynomials in B-form (Q1178505)

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.