ABSTRACT
From (2.2) one deduces that wn^ have the same properties as the Bern stein functions bn^ have, that is
(2.3)
The first property is evident if we use (2.2) and the fact that bn k^ > 0. n-r
For the proof of the second property, taking account that JD bn-rj(t ) = 1, i = °
we have successively
These properties ensure that the corresponding generalized Bezier curve lies within the convex hull of points b{, i = 0, n (property a) and is invariant under any affine transformation (property b).
