| 积分第一中值定理的推广 |
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| 引用本文： | 李衍禧. 积分第一中值定理的推广[J]. 数学的实践与认识, 2007, 37(9): 203-206 |
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| 作者姓名： | 李衍禧 |
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| 作者单位： | 潍坊学院,数学与信息科学学院,山东,潍坊,261061 |
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| 摘 要： | 将积分第一中值定理中的连续性条件减弱为有介值性,建立了具有介值性质的可积函数的积分第一中值定理的推广形式.
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| 关 键 词： | 介值性 积分第一中值定理 达布定理 |
| 修稿时间： | 2006-03-23 |
The Extension of the First Mean Value Theorem of Integral |
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| LI Yan-xi. The Extension of the First Mean Value Theorem of Integral[J]. Mathematics in Practice and Theory, 2007, 37(9): 203-206 |
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| Authors: | LI Yan-xi |
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| Abstract: | The continuity condition is weakened to the condition with intermediate value property in the first mean value theorem of integral,the generalized versions of the first mean value theorem of integral for functions with intermediate value properties are established. |
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| Keywords: | intermediate value property the first mean value theorem of integral darboux theorem |
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