| 关于扩展乘数法与无界函数的多项式逼近 |
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| 引用本文： | 郑成德. 关于扩展乘数法与无界函数的多项式逼近[J]. 海南大学学报(自然科学版), 2000, 18(3): 227-231 |
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| 作者姓名： | 郑成德 |
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| 作者单位： | 大连铁道学院数学教研室,辽宁大连,116028 |
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| 摘 要： | 利用扩展乘数法建立了若干多项式算子逼近任意无界连续函数的收敛性定理,给出了具有一般性的结论,从而推广了前人的许多重要定理.
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| 关 键 词： | 线性正算子 无界函数逼近 扩展乘数法 多项式算子 |
| 修稿时间： | 1999-08-26 |
On the Method of Multiplier-enlargement and Approximation of Unbounded Functions by Means of Polynomial Operators |
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| ZHENG Cheng-de. On the Method of Multiplier-enlargement and Approximation of Unbounded Functions by Means of Polynomial Operators[J]. Natural Science Journal of Hainan University, 2000, 18(3): 227-231 |
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| Authors: | ZHENG Cheng-de |
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| Abstract: | By using the method of multiplier-enlargement, this paper established many convergence theorems of polynomial operators to approximate any unbounded continuous functions, and gave general conclusions, therefore generalized many important theorems of L. C. Hsu and R. H. Wang. |
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| Keywords: | lineav positive operators approximation of unbounded functions method of multiplierenlargement polynomial operators |
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