| 积分中值定理的推广 |
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| 引用本文： | 陈世哲.积分中值定理的推广[J].南阳师范学院学报,2012,11(6):18-20. |
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| 作者姓名： | 陈世哲 |
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| 作者单位： | 中山大学信息科学与技术学院,广东广州,510006 |
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| 摘 要： | 利用Rolle微分中值定理和推广的Grace定理,获得了一些新的二重积分中值定理和复函数积分中值定理,推广和改进了积分型Cauchy中值定理和二重积分中值定理.
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| 关 键 词： | Rolle微分中值定理 积分型Cauchy中值定理 二重积分 推广的Grace定理 复变函数 解析函数 |
The extension of mean value theorem for integrals |
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| CHEN Shi-zhe.The extension of mean value theorem for integrals[J].Journal of Nanyang Teachers College,2012,11(6):18-20. |
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| Authors: | CHEN Shi-zhe |
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| Institution: | CHEN Shi-zhe(School of Information Science and Technology,Sun Yat-sen University,Guangzhou 510006,China) |
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| Abstract: | Using the Rolle differential mean value theorem and generalized Grace theorem,some new mean value theorems for double integral and integral mean value theorems for a complex function are obtained.The Cauchy mean value theorem for integral type and double integral were extended and improved. |
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| Keywords: | Roller mean value theorem Cauchy mean value theorem of integral type double integral generalized Grace's theorem function of a complex variable analytic function |
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