| 不可微函数的广义中值定理 |
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| 引用本文： | 谭忠富.不可微函数的广义中值定理[J].燕山大学学报,1992(2). |
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| 作者姓名： | 谭忠富 |
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| 作者单位： | 东北重型机械学院基础部 |
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| 摘 要： | 本文研究了函数的Dini导数与函数单调性的关系,并在函数不一定可微的情形下给出了广义中值定理,拓广了古典的微分中值定理.
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| 关 键 词： | Dini导数 方向导数 |
Extended Mean Value Theorems for Nondifferentiable Functions |
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| TAN Zhongfu.Extended Mean Value Theorems for Nondifferentiable Functions[J].Journal of Yanshan University,1992(2). |
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| Authors: | TAN Zhongfu |
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| Institution: | TAN Zhongfu |
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| Abstract: | In this paper, the relations of Dini derivatives and monotonous properties are given. The mean value theorems are given when functions are not necessary to be differentiable. These results extend the classical differential mean value theorems to the nondifferentiable cases. |
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| Keywords: | : Dini derivative directional derivative |
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