| 积分中值点的若干性质 |
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| 引用本文： | 张范荪. 积分中值点的若干性质[J]. 武汉大学学报 ( 信息科学版), 1989, 14(4): 74-78. |
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| 作者姓名： | 张范荪 |
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| 摘 要： | 本文对一般教科书中关于积分中值定理的论证作了修正或补充,明确地指出积分中值点可以在积分区间内部取得,同时对推广的积分中值定理(广义积分中值定理)的中值点进行了讨论。另外又介绍了积分中值点在极限过程中的中点性质。
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| 关 键 词： | 中值点 广义积分中值定理 极限中点 |
| 收稿时间： | 1988-06-24 |
Some Properties of the Mean Value Point for Integral |
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| Zhang Fansun. Some Properties of the Mean Value Point for Integral[J]. Geomatics and Information Science of Wuhan University, 1989, 14(4): 74-78. |
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| Authors: | Zhang Fansun |
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| Affiliation: | Zhang Fansun |
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| Abstract: | This paper modifies and completes the proof of the mean value theorem for integralin popular textbooks. It definitely shows that the mean value point can be chosen amongthe inner points of the integral interval, and it also discusses the generalized mean valuetheorem for integral. Moreover, this paper indicates that the limit position of the meanvalue point is the centre of the intergral interval on some conditions. |
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| Keywords: | mean value point generalyed mean value theorem limit mid point |
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