| 一类函数第一积分中值定理中值点的渐近性 |
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| 引用本文： | 张新元,王骁力.一类函数第一积分中值定理中值点的渐近性[J].数学的实践与认识,2011,41(4). |
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| 作者姓名： | 张新元 王骁力 |
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| 作者单位： | 1. 河南工业职业技术学院,基础部,河南,南阳,473009
2. 南阳师范学院,数学与统计学院,河南,南阳,473061 |
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| 基金项目： | 河南省自然科学基金，河南省教育厅自然科学基金 |
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| 摘 要： | 给出了当积分区间的两个端点都为被积函数的若干次零点时,第一积分中值定理中值点的渐近性质.
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| 关 键 词： | 积分中值定理 中值点 渐近性 |
The Asymptotic Property of the Intermediate Point of Integrals of a Kind of Functions |
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| ZHANG Xin-yuan,WANG Xiao-li.The Asymptotic Property of the Intermediate Point of Integrals of a Kind of Functions[J].Mathematics in Practice and Theory,2011,41(4). |
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| Authors: | ZHANG Xin-yuan WANG Xiao-li |
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| Institution: | ZHANG Xin-yuan~1,WANG Xiao-li~2 (1.The Basic Department of Henan Polytechnic Institute,Nanyang 473009,China) (2.School of Mathematics and Statistics,Nanyang Normal University,Nanyang 473061,China) |
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| Abstract: | This paper is devoted to studying the asymptotic property of the intermediate point of integrals as the length of the integral interval tends to zero,where integral interval endpoints are zero point of integrand function. |
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| Keywords: | the mean value theorem for integrals intermediate point asymptotic property |
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