| 有界闭集上的(R)积分及积分收敛定理 |
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| 引用本文： | 苏子安.有界闭集上的(R)积分及积分收敛定理[J].四川师范大学学报(自然科学版),1992(3). |
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| 作者姓名： | 苏子安 |
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| 作者单位： | 泉州电视大学 福建泉州市362000 |
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| 摘 要： | 本文定义了R~(?)中有界闭集E上的Riemann积分,给出可积充要条件,研究了这一积分与Lebesgue积分的关系,并导出相应的积分收敛定理.
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| 关 键 词： | 有界闭集 Riemann积分 收敛定理 Lebesgue积分 |
(R)INTEGRAL ON BOUNDED CLOSED SET AND THE THEOREM OF INTEGRAL CONVERGENCE |
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| Su Zian.(R)INTEGRAL ON BOUNDED CLOSED SET AND THE THEOREM OF INTEGRAL CONVERGENCE[J].Journal of Sichuan Normal University(Natural Science),1992(3). |
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| Authors: | Su Zian |
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| Abstract: | This article gives a definition to the Riemann integral on bounded closed set E.It gives integrable conditions,which areneccessary and full.The relationship between this integral and Lebesgue integral is studied,at the same time the correspondingtheorem about intergral convergence is also given. |
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| Keywords: | bounded closed set Riemann integral Lebesgue integral convergence theorem |
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