| 关于Bernstein型求和算子收敛阶的点态估计 |
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| 引用本文： | 葛金辉. 关于Bernstein型求和算子收敛阶的点态估计[J]. 太原理工大学学报, 2007, 38(2): 182-184 |
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| 作者姓名： | 葛金辉 |
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| 作者单位： | 通化师范学院数学系,吉林,通化,134002 |
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| 摘 要： | 对以(1-x)Wn(x)的零点作为插值节点构造的Bernstein型求和算子Fn(f;x)的一致收敛性及最佳逼近阶研究的基础上,首先给出了一个Bernstein型求和算子及其相关引理,然后研究一个Bernstein型求和算子对于连续函数类一致收敛,并且在连续状态下得到了点态逼近阶。
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| 关 键 词： | 一致收敛 收敛阶 Bernstein型求和算子 |
| 文章编号： | 1007-9432（2007）02-0182-03 |
| 收稿时间： | 2005-10-09 |
| 修稿时间： | 2005-10-09 |
Point Estimation About the Convergence Order of the Summation Operator of Bernstein Type |
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| GE Jin-hui. Point Estimation About the Convergence Order of the Summation Operator of Bernstein Type[J]. Journal of Taiyuan University of Technology, 2007, 38(2): 182-184 |
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| Authors: | GE Jin-hui |
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| Affiliation: | Department of Mathematics, Tonghua Teachers College, Tonghua 134002, China |
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| Abstract: | At first,a summation operator of Bernstein type and related lemma is given in this paper;then,the summation operator of Bernstein type converge uniformly is studied on continuous functional type,and the convergence order relative to dots is obtained. |
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| Keywords: | consistant convergence convergence order summation operator of Bernstein type |
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