| 推广的积分第一中值定理的再改进 |
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| 引用本文： | 文传军,姚俊.推广的积分第一中值定理的再改进[J].数学学习,2011,14(1):42-44. |
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| 作者姓名： | 文传军 姚俊 |
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| 作者单位： | 常州工学院,理学院,江苏,常州213002 |
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| 摘 要： | 研究推广的积分第一中值定理成立的条件,弱化该定理成立应满足的基本要求,并进而得到被积函数连续性替代条件的相关推论.
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| 关 键 词： | 推广的积分第一中值定理 零集 介值性 可积 |
Improvement of the Extended First Integral Mean Value Theorem |
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| WEN Chuan-jun,YAO Jun.Improvement of the Extended First Integral Mean Value Theorem[J].Studies In College Mathematics,2011,14(1):42-44. |
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| Authors: | WEN Chuan-jun YAO Jun |
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| Institution: | (School of Science, Changzhou Institute of Technology, Changzhou 213002, PRC) |
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| Abstract: | The tenable condition of the extended first integral mean value theorem is studied in this paper. The premise condition of this theorem is weakened, and inferences are obtained about the replacement of function continuity property. |
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| Keywords: | extended first mean value theorem zero set intermediate value property integrality |
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