| 积分第二中值定理"中间点"的渐近性态 |
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| 引用本文： | 王伟. 积分第二中值定理"中间点"的渐近性态[J]. 南通大学学报(自然科学版), 2006, 5(2): 28-31 |
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| 作者姓名： | 王伟 |
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| 作者单位： | 扬州工业职业技术学院,基础部,江苏,扬州,225000 |
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| 摘 要： | 讨论当积分区间长度趋于无穷大时,积分第二中值定理的“中间点”的渐近性态,在较弱的条件下,获得积分第二中值定理的“中间点”当积分区间长度趋于无穷大时的渐近估计式.改进和推广了相关文章中的一些最新结果。
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| 关 键 词： | 积分中值定理 积分第二中值定理 " 中间点" 渐近性 无穷大 |
| 文章编号： | 1673-2340（2006）02-0028-04 |
| 收稿时间： | 2005-09-05 |
| 修稿时间： | 2005-09-05 |
The Asymptotic Behavior of "Interior Point" on the Second Mean Value Theorem for Integrals |
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| WANG Wei. The Asymptotic Behavior of "Interior Point" on the Second Mean Value Theorem for Integrals[J]. Journal of Nantong University (Natural Science Edition), 2006, 5(2): 28-31 |
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| Authors: | WANG Wei |
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| Abstract: | The paper studies the asymptotic behavior of "interior point" on the second mean value theorem for integrals when the length of integral interval tends to be infinite,and the asymptotic estimation formulas under very weak conditions are given.Some recent results in some related articles are improved and extended. |
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| Keywords: | mean value theorem for integrals,the second mean value theorem for integrals," interior point" ,asymptotic behavior,infinite |
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