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| 微分中值定理的逆问题 | |
| 引用本文： | 胡洪萍,于鸿丽.微分中值定理的逆问题[J].西安联合大学学报,2003,6(2):45-47. |
| 作者姓名： | 胡洪萍 于鸿丽 |
| 作者单位： | 西安联合大学数学系 陕西西安710065 (胡洪萍)，西安联合大学数学系 陕西西安710065(于鸿丽) |
| 摘 要： | 研究了Lagrange定理和Taylor定理的逆问题，证明了在一定的条件下，Lagrange定理和Taylor定理的逆定理成立，为更好地利用微分中值定理提供了理论根据． |
| 关 键 词： | 微分中值定理 逆问题 Lagrange定理 Taylor定理 严格单调 介值定理 逆定理 |
| 文章编号： | 1008-777X(2003)02-0045-03 |
| 修稿时间： | 2002年12月10 |
On the Inverse Problem of Differential Mean Value Theorem |
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| Authors: | HU Hong ping YU Hong li |
| Abstract: | The inverse problems of Differential Mean Value Theorem were studied, including Lagrange theorem and Taylor Theorem. The Inverse Theorems of Lagrange Theorem and Taylor Theorem were proved to be valid under some conditions. The theoretical bases were given for the application of Differential Mean Value Theorem. |
| Keywords: | Lagrange Theorem Taylor Theorem Inverse Theorem Strict Monotony Intervention Theorem of Continuous Function |
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