| Landau多项式算子与无界函数逼近 |
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| 引用本文： | 郑成德. Landau多项式算子与无界函数逼近[J]. 鲁东大学学报, 2000, 0(3) |
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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： | 利用扩展乘数法构造了 Landau型多项式算子逼近全空间或有界集上无界函数的若干收敛定理 ,给出了具有一般性的结论 ,从而推广了已有文献的若干结果 .
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| 关 键 词： | Landau多项式算子 无界函数逼近 扩展乘数法 线性正算子 |
Landau polynomial operators and approximation of unbounded functions |
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| ZHENG Cheng de. Landau polynomial operators and approximation of unbounded functions[J]. Ludong University Journal (Natural Science Edition), 2000, 0(3) |
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| Authors: | ZHENG Cheng de |
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| Abstract: | Based on the method of multiplier enlargement,many convergence theorems of Landau polynomial operators are constructed to approximate any unbounded functions defined on whole space or bounded sets,and general conclusions are given.Thereby many important results of some known references are generalized. |
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| Keywords: | Landau polynomial operators approximation of unbounded functions method of multiplier enlargement linear positive operators |
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