| 实分析中某些不同定理的统一技巧 |
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| 引用本文： | 辛洪学.实分析中某些不同定理的统一技巧[J].哈尔滨师范大学自然科学学报,2000,16(2):28-33. |
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| 作者姓名： | 辛洪学 |
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| 作者单位： | 黑龙江省交通高等专科学校 |
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| 摘 要： | 本文针对与Ｌｅｂｅｓｇｕｅ可测函数列收敛性有关的重要定理，都使用纯集合描述的统一方式重新进行了论证，此作法不仅在形式有某种新意，更重要的是此作法揭示了函数的各种收敛性的集合特征及各种收敛的本质联系与区别。
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| 关 键 词： | 实分析 EГopoB定理 勒贝格定理 Rinesz定理 |
| 修稿时间： | 2000年1月4日 |
A UNIFIED TREATMENT OF SOMEVARIOUS THEOREM IN REAL ANALYSIS |
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| Xin Hongxue.A UNIFIED TREATMENT OF SOMEVARIOUS THEOREM IN REAL ANALYSIS[J].Natural Science Journal of Harbin Normal University,2000,16(2):28-33. |
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| Authors: | Xin Hongxue |
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| Institution: | Heilongjiang Communications College |
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| Abstract: | In this paper we give a unified pure set method about the proofs of the important theorems in relation to the convergence of the sequence of Lebesgue measurable functions,thereby brought to light the set characteristic and the essential contact and distinction of some convergence of other of the sequence of Lebesgue measurable functions.Our method is distinct to the others. |
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| Keywords: | Lebesgue measurable set Lebesgue measurable function Almost everywhere convergence Uniform convergence Convergence in measure |
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