| 实变函数中勒贝格积分三种定义的等价性 |
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| 引用本文： | 李景廉. 实变函数中勒贝格积分三种定义的等价性[J]. 佛山科学技术学院学报(自然科学版), 1999, 17(4): 65-68 |
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| 作者姓名： | 李景廉 |
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| 作者单位： | 佛山科学技术学院,理工分院,广东,佛山,528000 |
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| 摘 要： | 论证了从简单函数出发而给出的勒贝格积分定义，对照黎曼积分确界式定义给出的勒贝格积分定义，用和的极限形式表示的勒贝格积分定义，三种定义互相等价。
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| 关 键 词： | 实变函数 勒贝格积分 等价性 |
| 修稿时间： | 1999-06-21 |
The equivalence of Lebesgue's three definitions on integration of real-variable function |
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| LI Jing-lian. The equivalence of Lebesgue's three definitions on integration of real-variable function[J]. Journal of Foshan University(Natural Science Edition), 1999, 17(4): 65-68 |
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| Authors: | LI Jing-lian |
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| Abstract: | This paper concerned itself with the discussion about the equivalence of Lebesgue's three definitions on integration. The issue was discussed and expounded from three perspectives: simple function, comparison in supremum form with Riemann integration, and the representation by limit of the sum. |
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| Keywords: | real variable function Lebesgue's integration equivalence |
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