| 实分析中几种收敛性之间的关系 |
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| 引用本文： | 贾金平,张凡娣,代丽芳.实分析中几种收敛性之间的关系[J].咸阳师范学院学报,2011,26(6):4-5. |
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| 作者姓名： | 贾金平 张凡娣 代丽芳 |
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| 作者单位： | 天水师范学院数学与统计学院,甘肃天水,741001 |
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| 基金项目： | 天水师范学院科研基金项目 |
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| 摘 要： | 系统讨论了实分析中函数列的平均收敛,测度收敛以及几乎处处收敛之间的关系,给出它们之间的推导,并构造出了反列。
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| 关 键 词： | 平均收敛 依测度收敛 几乎处处收敛 |
Relationships Between Some Convergences in Real Analysis |
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| JIA Jin-ping,ZHANG Fan-di,Dai Li-fang.Relationships Between Some Convergences in Real Analysis[J].Journal of Xianyang Normal University,2011,26(6):4-5. |
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| Authors: | JIA Jin-ping ZHANG Fan-di Dai Li-fang |
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| Institution: | JIA Jin-ping,ZHANG Fan-di,Dai Li-fang(School of Mathematics and Statistics,Tianshui Normal University,Tianshui 741001,Gansu,China) |
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| Abstract: | The relationships between the mean convergence, convergence in measure and convergence almost everywhere of sequence of functions are discussed systematically. We have given the process of proof and constructed the counter example. |
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| Keywords: | mean convergence convergence in measure convergence almost everywhere |
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