| 实值函数可微性的研究 |
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| 引用本文： | 李岚.实值函数可微性的研究[J].西安文理学院学报,2007,10(2):65-67. |
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| 作者姓名： | 李岚 |
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| 作者单位： | 西安文理学院数学系 陕西西安710065 |
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| 摘 要： | 给出了有界变差函数和Dini(导)数的定义以及一个引理,证明了函数可微性的充分条件,利用有界变差对函数几乎处处可微性进行了讨论,并给予了相应的证明.
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| 关 键 词： | 可微 有界变差 几乎处处可微 |
| 文章编号： | 24486593 |
| 修稿时间： | 10 25 2006 12:00AM |
Research on Differentiation of Real-valued Function |
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| LI Lan.Research on Differentiation of Real-valued Function[J].Journal of Xi‘an University of Arts & Science:Natural Science Edition,2007,10(2):65-67. |
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| Authors: | LI Lan |
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| Abstract: | The definition of bounded variation function and Dini derivations was given,together with a lemma.Proof was given for the sufficient condition for the differentiability of real-valued functions.Almost everywhere differentiability of real-valued functions was discussed and proved by bounded variation function. |
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| Keywords: | differentiable bounded variation almost everywhere |
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