| 可测函数的判定与实例 |
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| 引用本文： | 张纪平.可测函数的判定与实例[J].泉州师范学院学报,2004,22(4):9-11. |
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| 作者姓名： | 张纪平 |
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| 作者单位： | 泉州师范学院,数学系,福建,泉州,362000 |
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| 摘 要： | 给出判断可测函数的一个充要条件，它可作可测函数的一种定义方式，并用这种定义方式来验证一个典型实例．由此说明可测函数定义是多样式，它们为判断定义在可测集上的广义实函数是可测函数的有力工具。
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| 关 键 词： | 可测函数 依测度收敛 依测度弱收敛 |
| 文章编号： | 1009-8224(2004)04-0009-03 |
A Conclusion and Example of Measurable Function |
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| ZHANG,Ji-ping.A Conclusion and Example of Measurable Function[J].Journal of Quanzhou Normal College,2004,22(4):9-11. |
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| Authors: | ZHANG Ji-ping |
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| Abstract: | A sufficient and necessary condition to conclude a measurable function is given in this paper.It can be used as a definition for measurable function,and take a representative example as approval.Hence,definition manners for measurable function are multiplicity and all of them are powerful tools to confirm a measurable function which define on a measurable set. |
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| Keywords: | measurable function convergence in measure slow convergence in measure |
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