| 积分型Cauchy中值定理的推广及其应用 |
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| 引用本文： | 陈仕洲,陈世哲.积分型Cauchy中值定理的推广及其应用[J].高师理科学刊,2010,30(3). |
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| 作者姓名： | 陈仕洲 陈世哲 |
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| 作者单位： | 1. 韩山师范学院,数学与信息技术系,广东,潮州,521041
2. 中山大学,信息科学与技术学院,广东,广州,510006 |
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| 基金项目： | 韩山师范学院教改课题 |
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| 摘 要： | 利用Rolle微分中值定理获得了一个新的积分中值定理,推广和改进了积分型Cauchy中值定理,并给出了其典型应用实例.
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| 关 键 词： | Rolle微分中值定理 积分型Cauchy中值定理 推广 |
The extension and its application of Cauchy mean value theorem of integral type |
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| CHEN Shi-zhou,CHEN Shi-zhe.The extension and its application of Cauchy mean value theorem of integral type[J].Journal of Science of Teachers＇College and University,2010,30(3). |
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| Authors: | CHEN Shi-zhou CHEN Shi-zhe |
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| Institution: | 1.Department of Mathematics and Information Technology; Hanshan Normal University; Chaozhou 521041; China; 2.School of Information Science and Technology; Sun Yatsen University; Guangzhou 510006; China); |
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| Abstract: | Using the Rolle differential mean value theorem,a new mean value theorem of integrals was obtained.The Cauchy mean value theorem of integral type was extended and improven.Some typical examples to applications of our result was shown. |
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| Keywords: | Roller mean value theorem Cauchy mean value theorem of integral type generalization |
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