| 曲线积分第二中值定理“中间点”渐近性分析 |
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| 引用本文： | 林冬翠.曲线积分第二中值定理“中间点”渐近性分析[J].河池学院学报,2012(2):65-71. |
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| 作者姓名： | 林冬翠 |
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| 作者单位： | 广西幼儿师范高等专科学校 |
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| 摘 要： | 通过研究第一型曲线积分第二中值定理"中间点"的渐近性,将结论推广到积分第二中值定理"中间点"的渐近性。首先给出第一型曲线积分第二中值定理及其证明,得出一个结论,由这个结论推导出定积分第二中值定理相应的结果。所得结论推广了文献1-3]中关于积分第二中值定理的结论。
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| 关 键 词： | 第一型曲线积分 中值定理 中间点 渐近性 |
On Asymptotic Property of the Mid-point of the Second Mean Value Theorem for First Form Curve Integral |
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| LIN Dong-cui.On Asymptotic Property of the Mid-point of the Second Mean Value Theorem for First Form Curve Integral[J].Journal of Hechi University,2012(2):65-71. |
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| Authors: | LIN Dong-cui |
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| Institution: | LIN Dong-cui(Guangxi College for Preschool Education,Nanning,Guangxi 530022,China) |
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| Abstract: | The asymptotic property of the mid-point of the second mean value theorem for first form curve integral is investigated.Then the result is generalized to the asymptotic estimation for the middle point of the second integral mean value.This conclusion is derived from the corresponding results of the definite integral of the second mean value theorem.By using the first curve points,the mean point of the second mean value theorem for first kind curve integral is discussed.Finally the conclusions in this article extend those in and3]. |
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| Keywords: | first form curvilinear integral mean value theorem mid-point asymptotic property |
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