| 单侧导数和对称导数混合方式下的微分中值定理 |
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| 引用本文： | 张广计.单侧导数和对称导数混合方式下的微分中值定理[J].大学数学,2013(5):105-107. |
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| 作者姓名： | 张广计 |
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| 作者单位： | 西北政法大学经管学院,西安710063 |
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| 摘 要： | 微分中值定理是分析中的一个重要定理,文1-2]用对称导数讨论该定理,文3-4]用单侧导数讨论该定理,而本文把两种导数结合起来以混合方式给出该定理的三种形式,且条件更弱.
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| 关 键 词： | 单侧导数 对称导数 微分中值定理 勒贝格积分 |
Differential Mean Value Theorem Generalized with the Mixed Methods of One-sided Derivative and Symmetric Derivative |
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| Institution: | ZHA NG Gua ng-j i (College of Econ. and Man. , Northwest Univ. of Politics and Law, Xi＇an 710063, China) |
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| Abstract: | The differential mean value theorem is an important theorem in analysis . The theorem is discussed with symmetric derivative in paper 1-2] ,and with one-sided derivative in paper 3-4]. But in this paper, three forms of the theorem is given with the mixed methods of one-sided derivative and symmetric derivative, and its conditions are weaker. |
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| Keywords: | one-sided derivative symmetric derivative differential mean value theorem lebesgue integral |
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