| Riemann积分的一个等价定义 |
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| 引用本文： | 项昌新. Riemann积分的一个等价定义[J]. 大学数学, 1994, 0(4) |
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| 作者姓名： | 项昌新 |
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| 作者单位： | 湖北宜昌师专 |
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| 摘 要： | 本文给出了Ｒｉｅｍａｎｎ积分的一个等价定义，用该定义下的达布和的性质证明了Ｒ—可积的必要充分条件定理。并用两种方法证明了定义卫与定义２等价。
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| 关 键 词： | R—可积；R′—可积；等分分割π_n；积分和；达布上和；达布下和 |
A Equiralent Definition for Riemann Integral |
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| xiang chang xin. A Equiralent Definition for Riemann Integral[J]. College Mathematics, 1994, 0(4) |
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| Authors: | xiang chang xin |
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| Affiliation: | HuBei Yichang suizhuang |
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| Abstract: | In this paper, we give a equivalent definition for Riemann integral and obtain a necessary and sufficient condition for R1-integrability by means of the difinition. we also supply two methods to prove the equivalence of definition 1 and definition 2. |
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| Keywords: | R-integrability R1-integrability Patition π_n interal summation Darboux super-sum Darboux lowersum. |
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