| Lebesgue测度等测包及其应用 |
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| 引用本文： | 严忠权,罗会亮. Lebesgue测度等测包及其应用[J]. 高等数学研究, 2010, 13(4): 42-45 |
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| 作者姓名： | 严忠权 罗会亮 |
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| 作者单位： | 黔南民族师范学院数学系,贵州都匀558000 |
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| 基金项目： | 贵州省重点支持学科(应用数学)基金(黔教高发 |
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| 摘 要： | 利用Lebesgue测度的等测内核和等测外包讨论内外测度的一系列性质,给出外测度有限可加的一个充要条件,该条件改进了原有外测度有限可加性相关问题的结果.
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| 关 键 词： | Lebesgue测度 内测度 外测度 等测内核 等测外包 |
Lebesgue Equal-measure-kernel and Equal-measure-hall and Their Applications |
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| YAN Zhong Quan,LUO Hui Liang. Lebesgue Equal-measure-kernel and Equal-measure-hall and Their Applications[J]. Studies In College Mathematics, 2010, 13(4): 42-45 |
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| Authors: | YAN Zhong Quan LUO Hui Liang |
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| Affiliation: | (Department of Mathematics, Qiannan Normal College for Nationalities, Duyun 558000, PRC) |
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| Abstract: | Some properties of inner measure and outer measure are discussed by using the equal-measure-kernel and equal-measure-hall, a sufficient and necessary condition of outer measure＇s finite additivity is given. |
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| Keywords: | Lebesgue measure inner measure outer measure equal-measure-kernel equal-measure -hall. |
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