[1]侯双印.关于Lebesgue积分中几个定理的简明证法[J].郑州大学学报(工学版),1982,3(01):13-22.
Hou shuang yin.A concise proof of several theorems in Lebesgue integrals[J].Journal of Zhengzhou University (Engineering Science),1982,3(01):13-22.
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关于Lebesgue积分中几个定理的简明证法(
)
《郑州大学学报(工学版)》[ISSN:1671-6833/CN:41-1339/T]
- 卷:
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3卷
- 期数:
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1982年01期
- 页码:
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13-22
- 栏目:
-
- 出版日期:
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1982-06-01
文章信息/Info
- Title:
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A concise proof of several theorems in Lebesgue integrals
- 作者:
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侯双印
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郑州工学院数学教研室
- Author(s):
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Hou shuang yin
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Department of Mathematics, Zhengzhou Institute of Technology
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- 文献标志码:
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A
- 摘要:
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设E是n维空间中的可测点集,即0≤mE≤+∞。本文对Lebesgue积分中几个含积分性质(E上的可积函数的和也是E上的可积函数,且和的积分等于积分的和;E上的可积函数乘以常数也是E上的可积函数,且常数可以提到积分符号之外等等)都给出了既简明又严格的证明。
- Abstract:
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Let E be the set of measurable points in n-dimensional space, i.e. 0≤mE≤+∞.In this paper, several properties involving integrals in Lebesgue integrals are studied (the sum of integrable functions on E is also an integrable function on E, and the integral of sum is equal to the sum of integrals;An integrable function on E multiplied by a constant is also an integrable function on E, and the constant can be mentioned outside the integral sign, etc.).
更新日期/Last Update:
2023-07-31