Integral型Lupas-Bézier算子收敛阶的估计

ESTIMATION ON THE CONVERGENCE RATE OF THE INTEGRAL-TYPE LUPAS-BéZIER OPERATOR

运用概率型算子的概率性质,研究了局部有界函数f的Integral型Lupas-Bézier算子收敛阶,得到更精确的估计。其研究对于Bézier型算子逼近的研究工作,以及提高运用Bézier法的计算机辅助设计几何造型的精度的估计有重要意义。

In this paper, using the probabilistic property of the probabilistic operator, this paper studies the accurate estimation of the convergence rate of the Integral-type Lupas-Bêzier operator for the locally bounded variation function. This study is im- portant for the research of the Bêzier operator approximation and improving the accurate estimation of CAD geometric model through using the Bêzier way.