| 对可测函数定义的若干探讨 |
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| 引用本文： | 彭奇林.对可测函数定义的若干探讨[J].甘肃联合大学学报(自然科学版),1998(Z1). |
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| 作者姓名： | 彭奇林 |
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| 作者单位： | 随州大学数学系 湖北随州，441300 |
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| 摘 要： | 对实变函数论中可测函数的不同定义进行了归纳,论证了不同定义之间的等价性,同时对各种定义进行了适当的辨析,最后指出了可测函数定义的最佳选择(特别是作为教材中的定义).
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| 关 键 词： | 实变函数 可测集 可测函数 非负可测函数 简单函数列 |
Some Researches of Definition of Measurable Function |
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| Peng Qilin.Some Researches of Definition of Measurable Function[J].Journal of Gansu Lianhe University :Natural Sciences,1998(Z1). |
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| Authors: | Peng Qilin |
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| Abstract: | In this paper,the different definition of measurable function is sumed up,their equivalent is discussed,and the reasonable discrimination was in progress,last their oplimol selection is pointed out. |
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| Keywords: | Real variable function Measurable set Measurable function Nonnegative measurable function Simple sequence of function |
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