| Henstock引理,导函数的可积性,积分原函数的可导性 |
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| 引用本文： | 巩增泰. Henstock引理,导函数的可积性,积分原函数的可导性[J]. 数学的实践与认识, 2005, 35(9): 148-154 |
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| 作者姓名： | 巩增泰 |
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| 作者单位： | 西北师范大学数学与信息科学学院,甘肃,兰州,730070 |
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| 基金项目： | 甘肃省自然科学基金(3ZS041-A25-004)资助项目 |
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| 摘 要： | 对经典实分析非绝对积分理论中的Henstock引理的本质特征进行了讨论,指出:Henstock引理的本质是刻划了导函数的可积性和积分原函数的可导性问题.
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| 关 键 词： | Henstock引理 导函数的可积性 积分原函数的可导性 |
| 修稿时间： | 2003-01-19 |
Henstock Lemma,Integrability of Derivative and Differentiability of Integral Primitive |
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| GONG Zeng-tai. Henstock Lemma,Integrability of Derivative and Differentiability of Integral Primitive[J]. Mathematics in Practice and Theory, 2005, 35(9): 148-154 |
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| Authors: | GONG Zeng-tai |
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| Abstract: | The essential characters of Henstock Lemma, which play an important role in the nonabsolute integrals theory of the classical real analysis, are discussed. It will be showed that the essential characters of Henstock Lemma are the integrability of derivative and the differentiability of integral primitive. |
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| Keywords: | henstock lemma integrability of derivative differentiability |
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