arrow
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

Export citation
  • 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.

  • Keywords

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{JCM-14-64, author = {}, 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 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 & J. Kozak. (1970). The Theorems on the B-B Polynomials Defined on a Simplex in the Blossoming Form. Journal of Computational Mathematics. 14 (1). 64-70. doi:
Copy to clipboard
The citation has been copied to your clipboard