A concise proof of several theorems in Lebesgue integrals
[1]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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Journal of Zhengzhou University (Engineering Science)[ISSN
1671-6833/CN
41-1339/T] Volume:
3
Number of periods:
1982 01
Page number:
13-22
Column:
Public date:
1982-06-01
- Title:
- A concise proof of several theorems in Lebesgue integrals
- Keywords:
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- CLC:
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- DOI:
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- Abstract:
- 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.).
- References:
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Last Update:
2023-07-31