| 积分第一中值定理的改进和推广 |
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| 引用本文： | 刘晃寰,王平华.积分第一中值定理的改进和推广[J].闽西职业技术学院学报,2009,11(2):101-103. |
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| 作者姓名： | 刘晃寰 王平华 |
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| 作者单位： | 1. 泉州儿童发展职业学院,福建,泉州,362000
2. 泉州师范学院,理工学院,福建,泉州,362000 |
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| 摘 要： | 研究了积分第一中值定理的中间值问题,证明了定理中的中间值可以属于开区间内部,并进而将积分第一中值定理的被积函数连续性的条件减弱为可积且有原函数.
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| 关 键 词： | 积分中值定理 可积 原函数 |
Improvement and extension of First Mean Value Theorem in Integration |
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| LIU Huang-huan,WANG Ping-hua.Improvement and extension of First Mean Value Theorem in Integration[J].Journal of Minxi Vocational and Technival College,2009,11(2):101-103. |
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| Authors: | LIU Huang-huan WANG Ping-hua |
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| Institution: | LIU Huang-huan1,WANG Ping-hua2 |
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| Abstract: | The problem of mean value of First Mean Value Theorem in Integration is studied.The mean value which can be in the open interval is proved,and the continuous conditions are improved. |
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| Keywords: | integral value theorem integrality original function |
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