| 完全集上的连续可微函数的开拓 |
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| 引用本文： | 王国俊.完全集上的连续可微函数的开拓[J].陕西师范大学学报,1990(1). |
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| 作者姓名： | 王国俊 |
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| 作者单位： | 陕西师大数学系 |
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| 摘 要： | 本文完全用初等的方法证明了完全集上连续可微函数都有可微开拓.作为应用,证明了任意有界变差函数都与某可微函数在除过测度任意小的集合外重合.
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| 关 键 词： | 完全集 可微开拓 有界变差函数 |
Extensions of Continuous Differentiable Functions Defined in Perfect Sets |
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| Wang Guojun.Extensions of Continuous Differentiable Functions Defined in Perfect Sets[J].Journal of Shaanxi Normal University: Nat Sci Ed,1990(1). |
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| Authors: | Wang Guojun |
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| Institution: | Department of Mathematics |
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| Abstract: | By very elementary method,it is proved that every continuous differentiable function defined in a perfect set has differentiable extension.It is also proved as application that any bounded variation function can be seen as a differentiable function beside a set of arbitrary small measure. |
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| Keywords: | perfect set differentiable extension bounded variation function |
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