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Volume 14, Issue 1
The Theorems on the B-B Polynomials Defined on a Simplex in the Blossoming Form

Y. Y. Feng & J. Kozak

J. Comp. Math., 14 (1996), pp. 64-70.

Published online: 1996-02

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  • Abstract

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.

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@Article{JCM-14-64, author = {Y. Y. Feng and J. Kozak}, title = {The Theorems on the B-B Polynomials Defined on a Simplex in the Blossoming Form}, journal = {Journal of Computational Mathematics}, year = {1996}, volume = {14}, number = {1}, pages = {64--70}, abstract = {

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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9220.html} }
TY - JOUR T1 - The Theorems on the B-B Polynomials Defined on a Simplex in the Blossoming Form AU - Y. Y. Feng & J. Kozak 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.

Y. Y. Feng and J. Kozak. (1996). The Theorems on the B-B Polynomials Defined on a Simplex in the Blossoming Form. Journal of Computational Mathematics. 14 (1). 64-70. doi:
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