| A DIFFERENTIABLE CANTOR-LIKE FUNCTION |
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| 作者姓名： | DingChuansong |
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| 摘 要： | the Cantor function is one of the most important and useful exaraples in real function theory. Recently there are a lot of research on differentiable Cantor-like functions, but the methods involved are not elementary. In this note a differentiable Cantor-like function was given by an elementary method.
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| 关 键 词： | 康托象函数 同态 完美康托集 实变函数 |
A DIFFERENTIABLE CANTOR-LIKE FUNCTION |
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| DingChuansong.A DIFFERENTIABLE CANTOR-LIKE FUNCTION[J].Journal of Mathematical Study,1994,27(1):28-31. |
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| Authors: | DingChuansong |
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| Institution: | Northwest Normal Univ. LanzhouGansu 730070 |
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| Abstract: | the Cantor function is one of the most important and useful examples in real function theory. Recently there are a lot of research on differentiable Cantor-like functions,butthe methods involved are not elementary. In this note a differentiable Cantor-like function was given by an elementary method. |
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| Keywords: | Cantor-like function homeomorphism |
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