摘要
给出了单纯形上两个相邻Bernstein多项式的差的一个估计式以及Bernstein多项式的一个渐近展开式并讨论了Bernstein多项式关于阶的高阶差分,得到一个极限公式。
This paper gives an estimation of error for the difference of two consecutive Bernstein polynomials defined on a simplex and gives an asymptotic expansion of Bernstein polynomial. Finally, the higher difference about the degree of Bernstein polynomials is discussed.
基金
The Subject is Supported by the National Natural Science Fundation of China.
关键词
B-多项式
单纯形
渐近展开式
差分
Bernstein polynomial, simplex, asymptotic expansion, difference
