| CONSTRUCTION OF SOME KIESSWETTER-LIKE FUNCTIONS-THE CONTINUOUS BUT NON-DIFFERENTIABLE FUNCTION DEFINED BY QUINARY DECIMAL |
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| 作者姓名： | TieYong YangGuangjun |
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| 作者单位： | YunnanUniversity,China |
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| 摘 要： | In this paper, we construct some continuous but non-differentiable functions defined by quinary decimal, that are Kiesswetter-like functions. We discuss their properties, then investigate the Hausdorff dimensions of graphs of these functions and give a detailed proof.
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| 关 键 词： | 非可微 函数 十进制记数 维数 图表 |
| 收稿时间： | 30 January 2004 |
Construction of some Kiesswetter-like functions —The continuous but non-different-iable function defined by quinary decimal |
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| TieYong YangGuangjun.CONSTRUCTION OF SOME KIESSWETTER-LIKE FUNCTIONS-THE CONTINUOUS BUT NON-DIFFERENTIABLE FUNCTION DEFINED BY QUINARY DECIMAL[J].Analysis in Theory and Applications,2004,20(1):58-68. |
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| Authors: | Tie Yong Yang Guangjun |
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| Institution: | (1) Department of Mathematics, Yunnan University, 650091 Kunming, P. R. China |
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| Abstract: | In this paper, we construct some continuous but non-differentiable functions defined by quinary decimal, that are Kiesswetter-like
functions. We discuss their properties, then investigate the Hausdorff dimensions of graphs of these functions and give a
detailed proof. |
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| Keywords: | Kiesswetter-like functions continuous but non-differentiable quinary decimal iterated function system inequality Hausdorff dimension |
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