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关于Sikkema-Bernstein多项式导数的迭代极限
引用本文:葛金辉. 关于Sikkema-Bernstein多项式导数的迭代极限[J]. 太原理工大学学报, 2005, 36(3)
作者姓名:葛金辉
作者单位:通化师范学院数学系,吉林,通化,134002
摘    要:
首先给出了Sikkema Bernstein多项式导数的迭代极限及误差估计,然后构造一个整系数Sikkema Bernstein型多项式,并给出了该多项式的导数逼近导函数是有界变差时的收敛阶估计式。

关 键 词:Bernstein多项式  Sikkema-Bernstein多项式  迭代  极限  收敛阶

Iterative Limit of Sikkema-Bernstein Polynomial''''s Derivative
GE Jin-hui. Iterative Limit of Sikkema-Bernstein Polynomial''''s Derivative[J]. Journal of Taiyuan University of Technology, 2005, 36(3)
Authors:GE Jin-hui
Abstract:
At first, this paper gives iterative limit of Sikkema Bernstein polynomial's derivative as well as error estimation. Then it constructs an integer coefficient Sikkema Bernstein polynomial, and gives convergence order estimation form when the approximation derived function of this polynomial's derivative is bounded variation.
Keywords:Bernstein polynomial  Sikkema Bernstein  polynomial  iteration  limit  convergence order
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