An identity for multivariate Bernstein polynomials
We prove an identity for multivariate Bernstein polynomials on simplices, which may be considered a pointwise orthogonality relation. Its integrated version provides a new representation for the polynomial dual basis of Bernstein polynomials. An identity for the reproducing kernel is used to define quasi-interpolants of arbitrary order. (C) 2003 Elsevier B.V. All rights reserved.
bernstein polynomial dual quasi-interpolation simplex