| ON THE ERROR-SUM FUNCTION OF ALTERNATING LǖIROTH SERIES |
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| 作者姓名： | Luming Shen Chao Ma Jihong Zhang |
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| 作者单位： | [1]Science College of Hunan Agreculture University, China [2]Nanjing University, China [3]Wuhan University, China |
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| 摘 要： | The error-sum function of alternating Lǖroth series is introduced, which, to some extent, discerns the superior or not of an expansion comparing to other expansions. Some elementary properties of this function are studied. Also, the Hausdorff dimension of graph of such function is determined.
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| 关 键 词： | 交互Lǖroth级数 Hausdorff量纲 误差总数函数 扩展 |
| 收稿时间： | 2006-03-02 |
On the error-sum function of alternating Lüroth series |
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| Luming Shen Chao Ma Jihong Zhang.On the error-sum function of alternating Lüroth series[J].Analysis in Theory and Applications,2006,22(3):223-232. |
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| Authors: | Luming Shen Chao Ma Jihong Zhang |
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| Institution: | (1) Science College of Hunan Agreculture University, Chang sha, Hunan, 430082, P. R. China;(2) Department of Mathematics, Nanjing University, Nanjing, 210093, P. R. China;(3) Department of Mathematics, Wuhan University, Wuhan, Hubei, 430072, P. R. China |
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| Abstract: | The error-sum function of alternating Lüroth series is introduced, which, to some extent, discerns the superior or not of
an expansion comparing to other expansions. Some elementary properties of this function are studied. Also, the Hausdorff dimension
of graph of such function is determined.
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| Keywords: | Alternating Lüroth series error-sum function Hausdorff dimension |
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