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| 积分第一、二中值定理的中间点的渐近性质的一般性定理 | |
| 引用本文： | 郑权. 积分第一、二中值定理的中间点的渐近性质的一般性定理[J]. 数学的实践与认识, 2005, 35(5): 240-243 |
| 作者姓名： | 郑权 |
| 作者单位： | 北方工业大学理学院,北京,100041 |
| 摘 要： | 把关于积分第一中值定理的中间点ξ的渐近性质的较多有关结果,归纳推广为一个弱条件下的一般性定理,并且在此弱条件下给出一种简洁的证明;而且,对于较少讨论的积分第二中值定理的中间点ξ的渐近性质,也得到相应的弱条件下的一般性定理,并且同样给出简洁证明. |
| 关 键 词： | 积分中值定理 中间点 渐近性质 |
| 修稿时间： | 2003-06-07 |
The General Asymptotic Property of the Intermediate Value of the First and Second Mean Value Theorem for the Integrals |
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| ZHENG Quan. The General Asymptotic Property of the Intermediate Value of the First and Second Mean Value Theorem for the Integrals[J]. Mathematics in Practice and Theory, 2005, 35(5): 240-243 | |
| Authors: | ZHENG Quan |
| Abstract: | We absorb many results of the asymptotic property of the intermediate point of the first mean value theorem for the integrals into a general result, which has weak condition and is proved succinctly, and we also obtain a general result for the asymptotic property of the intermediate value of the second mean value theorem for the integrals, which is less discussed and is proved succinctly under the given weak condition too. |
| Keywords: | mean value theorem for the integrals intermediate point asymptotic property |
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