| 摘要: |
| 介绍了鲁津定理的另一种证明，建立了非负有界可测函数与简单函数的关系与闭集上连续函数的粘贴定理，在此基础上给出鲁津定理的证明. |
| 关键词: 可测函数 简单函数 一致连续 连续 |
| DOI： |
| 分类号: |
| 基金项目: |
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| Anther Proof on Lusin’s Theorem |
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YE Yi wei
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| Abstract: |
| This paper presents a new proof of Lusin’s Theorem. The main results are as follow: the relationship between the nonnegative bounded measurable functions and simple functions is estabished；and the continuity of function which is continuous on each disjoint closed set is dnalhzed, on the basis of which another proof of the well known Lusin’s Theorem is presented. |
| Key words: measurable function simple function uniform continuity continuity |
