| 关于Post-Gamma算子的点态近估计 |
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| 引用本文： | 王涛.关于Post-Gamma算子的点态近估计[J].鲁东大学学报,2004,20(2):81-85. |
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| 作者姓名： | 王涛 |
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| 作者单位： | 厦门大学数学系 福建 |
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| 摘 要： | 综合利用概率论中的中心极限定理的一种渐近展开形式和Bojanic-Cheng方法,研究了Post-Gamma算子 对局部有界函数的点态逼近估计,得到精确的逼近阶,并进一步证明了此估计在连续点处是渐进最优的.
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| 关 键 词： | Post-Gamma算子 局部有界函数 中心极限定理 渐近最优 |
| 文章编号： | 1004-4930(2004)02-0081-05 |
| 修稿时间： | 2003年10月14 |
Pointwise approximation of Post-Gamma operators |
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| WANG Tao.Pointwise approximation of Post-Gamma operators[J].Ludong University Journal (Natural Science Edition),2004,20(2):81-85. |
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| Authors: | WANG Tao |
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| Abstract: | The rates of convergence of Post-Gamma operators for locally bounded functions is studied by means of probabilistic methods and Bojanic-cheng' s methods combining with analysis technigue, and it is proved that the estimation is asymptotically optimal for continuous points. |
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| Keywords: | Post-Gamma operators locally bounded functions central limit theorem asymptotically optimal |
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