| 可测函数序列的完全收敛性 |
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| 引用本文： | 袁守成.可测函数序列的完全收敛性[J].湖南工业大学学报（社会科学版）,2007,12(5). |
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| 作者姓名： | 袁守成 |
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| 作者单位： | [1]西北师范大学数学与信息科学学院,兰州730070 |
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| 摘 要： | 讨论了可测函数序列完全收敛与几乎一致收敛、几乎处处收敛、依测度收敛之间的关系,并给出了它的两个常用性质和一个判定定理。
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| 关 键 词： | 完全收敛 几乎一致收敛 几乎处处收敛 依测度收敛 |
Complete Convergence of Measurable Function |
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| YUAN Shou-cheng.Complete Convergence of Measurable Function[J].Journal of Hunan University of Technology(Social Science Edition),2007,12(5). |
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| Authors: | YUAN Shou-cheng |
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| Institution: | YUAN Shou-cheng(College of Mathematics and Information Science; Northwest Normal University; Lanzhou Gansu 730070; China); |
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| Abstract: | The paper discusses the relations between complete convergence and almost uniform convergence,almost everywhere convergence,convergence in measure of fathomable functional sequence,and presents two common properties and one decision theorem. |
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| Keywords: | complete convergence almost uniform convergence almost everywhere convergence convergence in measure |
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