BernsteinBasis(k,n,a,b,x) defines the kth Bernstein polynomial of degree n which is nonnegative on the interval [a,b]. The definition is

At present, this can only be evaluated in Maple by prior use of the object-oriented representation obtained by P:=convert(p,MatrixPolynomialObject,x) and subsequent call to P:-Value(<x-value>), which uses the de Casteljau algorithm to evaluate the polynomial p.