| 向量值函数连续与可导的关系 |
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| 引用本文： | 董立华,刘德金,焦德杰,李娜.向量值函数连续与可导的关系[J].广西师范学院学报(自然科学版),2005,22(2):10-13,22. |
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| 作者姓名： | 董立华 刘德金 焦德杰 李娜 |
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| 作者单位： | 德州学院,数学系,山东,德州,253023;德州学院,数学系,山东,德州,253023;德州学院,数学系,山东,德州,253023;德州学院,数学系,山东,德州,253023 |
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| 摘 要： | 通过构造反例的方法，充分论证取值于X的向量值函数强连续只是弱可导的必要条件，而且还存在着强绝对连续并不几乎处处有弱导数的向量值函数．
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| 关 键 词： | 向量值函数 强(弱)连续 强(弱)可导 强绝对连续 |
| 文章编号： | 1002-8743(2005)02-0010-04 |
The Relation of Continuity and Derivative about Vector- valued Function |
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| DONG Li-hua,LIU De-jin,JIAO De-jie,LI Na.The Relation of Continuity and Derivative about Vector- valued Function[J].Journal of Guangxi Teachers Education University:Natural Science Edition,2005,22(2):10-13,22. |
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| Authors: | DONG Li-hua LIU De-jin JIAO De-jie LI Na |
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| Abstract: | Through constructing the reverse examples, this paper proves adequately that strong continuty is only a necessary condiction of weak derivative for the vector-valued functions. The vector-valued functions exist in that they are strongly absolute continuity,but there are not almost weak derivative here and there. |
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| Keywords: | vector-valued function strongly (weakly) continuity strongly (weakly) derivable strongly absolute continuity |
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