| 微分中值定理中值点的渐近分析 |
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| 引用本文： | 王申秋,凡震彬.微分中值定理中值点的渐近分析[J].常熟理工学院学报,2012,26(2):18-22. |
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| 作者姓名： | 王申秋 凡震彬 |
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| 作者单位： | 常熟理工学院数学与统计学院,江苏常熟,215500 |
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| 摘 要： | 利用微分中值定理和泰勒公式研究微分中值定理中值点的渐近性质,给出了一元函数Cauchy中值定理以及二元函数微分中值定理中值点渐近性的新的充分条件,推广并完善了最近的一些结果.
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| 关 键 词： | 微分中值定理 Lagrange中值定理 Cauchy中值 Taylor公式 |
The Asymptotic Properties about Median Point of Differential Mean Value Theorem |
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| WANG Shen-qiu, FAN Zhen-bin.The Asymptotic Properties about Median Point of Differential Mean Value Theorem[J].Journal of Changshu Institute of Technology,2012,26(2):18-22. |
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| Authors: | WANG Shen-qiu FAN Zhen-bin |
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| Institution: | (School of Mathematics and Statistics,Changshu Institute of Technology,Changshu 215500, China) |
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| Abstract: | By differential mean value theorems and Taylor’s formulas, new asymptotic properties about the median point of differential mean value theorems are obtained in this paper, which generalizes and improves some related results in this area. |
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| Keywords: | differential mean value theorem Lagrange mean value theorem Cauchy mean value theorem Taylor'sformula |
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