| 微分中值定理的推广及其应用 |
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| 引用本文： | 张本勤. 微分中值定理的推广及其应用[J]. 太原科技大学学报, 1991, 0(3) |
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| 作者姓名： | 张本勤 |
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| 作者单位： | 太原重型机械学院基础部 |
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| 摘 要： | 本文在函数f(x)分别满足Rolle定理和Lagrange中值定理的条件下,以及函数(x)、F(x)满足Cauchy中值定理条件而函数g(x)满足一定条件下,推广了前述三个定理,而这三个基本定理则成为本文所建立的推广后有关定理的特殊情形。
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| 关 键 词： | 中值定理 辅助函数 |
Extension and Application of Mean Value Theorem for derivatives |
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| Zhang Benqin. Extension and Application of Mean Value Theorem for derivatives[J]. Journal of Taiyuan University of Science and Technology, 1991, 0(3) |
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| Authors: | Zhang Benqin |
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| Affiliation: | Zhang Benqin |
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| Abstract: | Three mean value theorems for derivatives are extended on the premise that f(x) satisfies Rolle's theorem and Lagrange's theorem respectively, or f(x) and F(x) satisfy Cauchy's theorem, and g(x) meets some certain conditions.So, the three basic theorems become special cases of the cxtcn ded theorems in this paper. |
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| Keywords: | mean value theorem subsidiary function |
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