TY - JOUR T1 - The Theorems on the B-B Polynomials Defined on a Simplex in the Blossoming Form JO - Journal of Computational Mathematics VL - 1 SP - 64 EP - 70 PY - 1996 DA - 1996/02 SN - 14 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9220.html KW - AB -

In this paper, an explicit expression of the blossom by the means of the B-form of B-B polynomial defined on a simplex is given. With its help, new but very short and simple blossom proofs of the most important theorems on B-B polynomials are derived, such as the degree elevation formula, the subdivision and the change of the underlying simplex procedure, the control points convergence property, the Marsden's identity.