| 积分中值定理中间点渐近性态的研究 |
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| 引用本文： | 王福良,杨彩萍.积分中值定理中间点渐近性态的研究[J].天津师范大学学报(自然科学版),2002,22(2):38-40. |
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| 作者姓名： | 王福良 杨彩萍 |
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| 作者单位： | 中国民航学院理学院,天津,300300 |
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| 摘 要： | 对积分区间长度趋于零时，积分中值定理中间点的渐近性态作了近一步研究，得到一个更具一般性的新结果，并研究了当积分区间长度趋于无穷时积分中值定理中间点的渐近性态。
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| 关 键 词： | 积分中值定理 中间点 渐近性态 积分区间 连续函数 罗必达法则 |
| 文章编号： | 1671-1114(2002)02-0038-03 |
| 修稿时间： | 2001年12月16 |
Study on the Asymptotic behavior of the Intermediate Point of the Mean Value Theorem for Integrals |
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| WANG Fu-liang,YANG Cai-ping.Study on the Asymptotic behavior of the Intermediate Point of the Mean Value Theorem for Integrals[J].Journal of Tianjin Normal University(Natural Science Edition),2002,22(2):38-40. |
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| Authors: | WANG Fu-liang YANG Cai-ping |
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| Abstract: | The asymptotic behavior of the intermediate point in the mean value theorem for integrals as the length of integral interval tends to zero has been further studied. In this paper, we firstly extend the above results and then study the asymptotic behavior of the intermediate point in the mean value theorem for integrals as the length of integral interval tends to infinity. |
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| Keywords: | mean value theorem for integrals intermediate point asymptotic behavior |
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