| 中值定理的推广 |
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| 引用本文： | 库恒.中值定理的推广[J].黄冈师范学院学报,2008,28(6):9-11. |
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| 作者姓名： | 库恒 |
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| 作者单位： | 黄冈师范学院,数学与信息科学学院,湖北,黄州,438000 |
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| 基金项目： | 鸣谢本文是在库在强副教授的精心指导下完成的,在此深表感谢. |
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| 摘 要： | 将微分中值定理推广到存在单侧导数函数的场合，将积分中值定理推广到被积函数存在单侧极限或单调的场合．
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| 关 键 词： | 微分中值定理 积分中值定理 单侧极限 单侧导数 |
The generalization of the mean-value theorem |
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| KU Heng.The generalization of the mean-value theorem[J].Journal of Huanggang Normal University,2008,28(6):9-11. |
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| Authors: | KU Heng |
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| Institution: | KU Heng(College of Mathematics , Information Science,Huanggang Normal University,Huangzhou 438000,Hubei,China) |
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| Abstract: | In the paper,on the one hand,we generalize the differential mean-value theorems to the occasion in which functions have unilateral derivatives.On the other hand,we generalize the integral mean-value theorems to the situation in which integrands have unilateral limits or are monotonous. |
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| Keywords: | differential mean-value theorem integral mean-value theorem unilateral limit unilateral derivative |
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