| 积分第一中值定理中间点的渐近性 |
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| 引用本文： | 戴立辉,吴亭.积分第一中值定理中间点的渐近性[J].闽江学院学报,2009,30(2). |
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| 作者姓名： | 戴立辉 吴亭 |
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| 作者单位： | 闽江学院数学系,福建,福州,350108 |
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| 基金项目： | 闽江学院科技启动项目 |
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| 摘 要： | 利用泰勒公式,对Jacobson B,李文荣,吴亭的渐近定理、渐近速度定理的证明方法进行了改进,并对其相应结果进行了推广,研究了当区间的两个端点都趋于其内一定点时,积分第一中值定理中间点的渐近性及其收敛速度.
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| 关 键 词： | 积分第一中值定理 中间点 渐近性 泰勒公式 |
Asymptotic properties of intermediate point on the first mean value theorem for integral |
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| DAI Li-hui,WU Ting.Asymptotic properties of intermediate point on the first mean value theorem for integral[J].Journal of Minjiang University,2009,30(2). |
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| Authors: | DAI Li-hui WU Ting |
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| Institution: | Department of Mathematics;Minjiang University;Fuzhou;Fujian 350108;China |
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| Abstract: | By means of Taylor formula,this paper ameliorates the proof method of the asymptotic theorem and asymptotic rate theorem,and the corresponding results are generalized by Jacobson B,LI WR,WU T.In this paper,we study the asymptotic properties and its convergence rate of intermediate point on the first mean value theorem for integral,when the two end points of interval tend to a fixed point in the interval. |
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| Keywords: | the first mean value theorem for integral intermediate point asymptotic properties Taylor formula |
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