| 对“关于第一类不连续点函数的介值定理和积分中值定理”一文的注记 |
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| 引用本文： | 李衍禧.对“关于第一类不连续点函数的介值定理和积分中值定理”一文的注记[J].数学的实践与认识,2007,37(8):183-185. |
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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： | 利用只有第一类不连续点函数的介值定理和勒贝格积分理论,建立了至多有第一类不连续点函数的积分中值定理的推广形式,推广了徐永利的结论.
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| 关 键 词： | 第一类不连续点 积分中值定理 勒贝格积分 |
| 修稿时间： | 2006年6月20日 |
A Note on "The Intermediate Value and Mean Value Theorem for Integral for Functoins with Discontinuity Points of the First Kind" |
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| LI Yan-xi.A Note on "The Intermediate Value and Mean Value Theorem for Integral for Functoins with Discontinuity Points of the First Kind"[J].Mathematics in Practice and Theory,2007,37(8):183-185. |
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| Authors: | LI Yan-xi |
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| Abstract: | By using the intermediate value theorem for functions with discontinuity point of the first kind and the theory of Lebesgue integral,the generalized version of the mean value theorem of definite integral is established for functions at most with discontinuity point of the first kind,and the conclusions of Xu Yongli are generalized. |
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| Keywords: | discontinuity point of the fist kind mean value theorem of integral lebesgue integral |
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