Dual bases of a Bernstein polynomial basis on simplices

This paper extends the theory of dual bases of a one-variate B-spline basis to the case of Bernstein polynomials and presents methods of constructing dual bases of a Bernstein polynomial basis on a simplex from that of a one-variate polynomial basis, s{xⁱs}ⁿ_i=0 and s{B^k_i,k-i(x) = (^k_i)xⁱ(l-x)^k-i}s^k_i=0 on the interval [0,1].