| 广义Denjoy可积函数的卷积 |
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| 引用本文： | 刘巧玲,叶国菊,刘尉.广义Denjoy可积函数的卷积[J].黑龙江大学自然科学学报,2011,28(2):181-183. |
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| 作者姓名： | 刘巧玲 叶国菊 刘尉 |
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| 作者单位： | 河海大学,理学院,南京,211100 |
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| 基金项目： | 国家自然科学基金资助项目，中央高校基本科研业务费专项资金资助项目 |
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| 摘 要： | 讨论广义Denjoy可积函数的卷积问题.给出两个广义Denjoy可积函数卷积的定义,并且证明当其中一个广义Denjoy可积函数的原函数为有界变差时,这时的卷积也是广义Denjoy可积函数.
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| 关 键 词： | 广义Denjoy积分 卷积 有界变差 |
Some problems on the convolution of distributional Denjoy integral |
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| LIU Qiao-ling,YE Guo-ju,LIU Wei.Some problems on the convolution of distributional Denjoy integral[J].Journal of Natural Science of Heilongjiang University,2011,28(2):181-183. |
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| Authors: | LIU Qiao-ling YE Guo-ju LIU Wei |
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| Institution: | LIU Qiao-ling,YE Guo-ju,LIU Wei (College of Science,Hehai University,Nanjing 211100,China) |
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| Abstract: | Some problems on the convolution of distributional Denjoy integrable functions are discussed.The definition of the convolution of two distributional Denjoy integrable functions is presented.It is proven that the convolution of distributional Denjoy integrable functions is distributional Denjoy integrable when one of their primitive is bounded variation function. |
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| Keywords: | distributional Denjoy integral convolution bound variation |
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