| CALCULUS ON CANTOR TRIADIC SET （Ⅱ）—EXCEPTIONAL SET |
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| 作者姓名： | XILIFENG |
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| 作者单位： | DepartmentofMathematics,WuhanUnivershy,Huhan430072 |
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| 摘 要： | In this paper the derivative and its exceptional set according to the alternatively jumping function and self-similar function respectively are discussed. And in the appendix, a proof of the statement 1.2(2) of “Calculus on Cantor triadic set (Ⅱ)—derivative” which is important to the discussion of exceptional set is given.
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| 关 键 词： | 康托三元集 分布函数 连续性 实变函数 |
| 收稿时间： | 21 July 1997 |
Calculus on Cantor triadic Set (I)—exceptional set |
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| XILIFENG.Calculus on Cantor triadic Set (I)—exceptional set[J].Applied Mathematics A Journal of Chinese Universities,1998,13(2):231-240. |
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| Authors: | Xi Lifeng |
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| Institution: | (1) Department of Mathematics, Wuhan University, 430072 Huhan |
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| Abstract: | In this paper the derivative and its exceptional Sct according to the alternatively jump-ing function and self-similar function
respectively are discussed. And in the appendix, a proof of the statement 1. 2(2) of “Calculus on Cantor triadic Set (I)—derivative”
which is important to the discussion of exceptional Set is given.
Supported by the Foundation of Postdoctor. |
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| Keywords: | Fractal derivative on Cantor Set exceptional Set ergodic theory Duffin-Schaeffer’ s theorem |
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