| 可测函数列的几种收敛性关系 |
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| 引用本文： | 段胜忠,杨国翠.可测函数列的几种收敛性关系[J].保山师专学报,2014,33(5):12-14. |
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| 作者姓名： | 段胜忠 杨国翠 |
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| 作者单位： | 保山学院数学学院,云南保山,678000 |
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| 基金项目： | 云南省应用基础研究计划青年项目，保山学院重点课题 |
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| 摘 要： | 对可测函数列的几种收敛性的定义和性质进行归纳和总结,讨论他们之间的关系,并给出相应的证明,从而使各种收敛之间的关系更加明了。
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| 关 键 词： | 可测函数列 一致收敛 几乎处处收敛 依测度收敛 强收敛 弱收敛 |
Several Convergence Relationships of Measurable Function Sequence |
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| Duan Shengzhong,Yang Guocui.Several Convergence Relationships of Measurable Function Sequence[J].Journal of Baoshan Teachers' College,2014,33(5):12-14. |
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| Authors: | Duan Shengzhong Yang Guocui |
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| Institution: | (Department of Mathematics of Baoshan College, Yunnan, Baoshan, 678000) |
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| Abstract: | The definitions and properties of several kinds of convergence for measurable function sequence are generalized in this paper. We discussed their interrelationship and gave some proofs about the corresponding results, which made the connections between them more clear. |
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| Keywords: | measurable function sequence uniform convergence convergence almost everywhere convergence in measure strong convergence weak convergence |
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