| 关于五个积分极限定理的等价性 |
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| 引用本文： | 庄嘉壤.关于五个积分极限定理的等价性[J].宁波教育学院学报,2008,10(6):67-70. |
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| 作者姓名： | 庄嘉壤 |
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| 作者单位： | 泉州市泉港区惠华中学,福建,泉州,362804 |
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| 摘 要： | 对勒贝格积分极限定理进行了进一步探讨,得到列维定理、勒贝格逐项积分定理、法都定理、勒贝格控制收敛定理和勒贝格一致有界定理这五个定理是等价的.
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| 关 键 词： | 积分 极限定理 等价性 |
On the Equivalence of Five Limit Theorems of Integral |
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| ZHUANG Jia-rang.On the Equivalence of Five Limit Theorems of Integral[J].Journal of Ningbo Institute of Education,2008,10(6):67-70. |
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| Authors: | ZHUANG Jia-rang |
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| Institution: | ZHUANG Jia-rang(Quangang Huihua Middle School,Quanzhou 362804,China) |
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| Abstract: | This paper comes to a conclusion that Levi theorem,Lebesgue stepwise integral theorem,Fatou theorem,Lebesgue control convergence theorem and Lebesgue uniform boundness theorem are equivalent. |
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| Keywords: | integral limit theorem equivalence |
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