| 可测函数与连续函数的关系 |
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| 引用本文： | 戴培良.可测函数与连续函数的关系[J].常熟理工学院学报,2008,22(2):14-17. |
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| 作者姓名： | 戴培良 |
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| 作者单位： | 常熟理工学院,数学系,江苏,常熟,215500 |
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| 摘 要： | 论述了可测函数与连续函数的关系，对鲁津定理作了较详细的证明及说明．对可测函数的结构进行了详尽的研究，由此对鲁津定理的理解可更加深透．
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| 关 键 词： | 可测函数 连续函数 定理 |
| 文章编号： | 1008-2794(2008)02-0014-04 |
| 修稿时间： | 2007年11月6日 |
Relation of Continuous function and Measurable function |
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| DAI Pei-liang.Relation of Continuous function and Measurable function[J].Journal of Changshu Institute of Technology,2008,22(2):14-17. |
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| Authors: | DAI Pei-liang |
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| Institution: | DAI Pei-liang ( Dept. of math, Changshu Institute of Technology, Changshu 215500, China) |
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| Abstract: | This paper makes sure that measurable function is further extension of the continuous function,especially,it proves and explains Luzin.N.N theorem detriledly.The proof can enlighten people on the better study for structure of measurable function and on the better understudying Luzin.N.N theorem. |
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| Keywords: | measurable function continuous function theorem |
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