| 关于Sikkema—Bernstein多项式导数的迭代极限 |
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| 引用本文： | 葛金辉,何甲兴.关于Sikkema—Bernstein多项式导数的迭代极限[J].通化师范学院学报,2001,22(2):23-26. |
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| 作者姓名： | 葛金辉 何甲兴 |
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| 作者单位： | 吉林大学,长春,130000 |
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| 摘 要： | 本首先给出了Sikkema-Bernstein多项式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。
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| 关 键 词： | Sikkema－Bernstein多项式 迭代极限 收敛阶 导数 误差估计 有界变差函数 逼近 |
| 文章编号： | 1008-7974(2001)02-0023-04 |
| 修稿时间： | 2000年11月5日 |
Iterative Limit of Sikkema- Bernstein Polynomial's Derivative |
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| Ge Jinhui,He Jiaxing.Iterative Limit of Sikkema- Bernstein Polynomial''''s Derivative[J].Journal of Tonghua Teachers College,2001,22(2):23-26. |
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| Authors: | Ge Jinhui He Jiaxing |
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| Institution: | Ge Jinhui,He Jiaxing Jilin University,Changchun,130000 |
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| Abstract: | At first, this paper gives iterative limit of Sikkema - Bernstein polynomial's derivative as wellas error estimate. Then it constructs an integer coefficient Sikkema - Bernstein polynomial, andgives convergence order estimating form when the approximation derived function of thispolynomial's derivative is bounded veriation. |
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| Keywords: | Bernstein polynomail Sikkema-Bernstein polynomial iteration limit convergence order |
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