| 统计收敛与平均收敛 |
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| 引用本文： | 蓝永艺.统计收敛与平均收敛[J].集美大学学报(自然科学版),2010,15(2):147-149. |
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| 作者姓名： | 蓝永艺 |
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| 作者单位： | 集美大学理学院,福建,厦门,361021 |
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| 摘 要： | 证明了有界序列统计收敛必平均收敛,并给出例子说明对于无界序列的这两种收敛不相互蕴含,最后还给出了有界序列统计收敛的一个充要条件.
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| 关 键 词： | 统计收敛 平均收敛 弱收敛 Banach-Saks性质 |
Statistical Convergence and Average Convergence |
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| LAN Yong-yi.Statistical Convergence and Average Convergence[J].the Editorial Board of Jimei University(Natural Science),2010,15(2):147-149. |
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| Authors: | LAN Yong-yi |
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| Institution: | School of Sciences;Jimei University;Xiamen 361021;China |
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| Abstract: | It was proved that statistical convergence implied average convergence in bounded sequences.The two kinds of convergence in unbounded sequences were also discussed and an equivalent condition for statistical convergence of the bounded sequence was given. |
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| Keywords: | statistical convergence average convergence weak convergence Banach-Saks property |
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