| Engel展式逼近实数的效率 |
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| 引用本文： | 张振亮.Engel展式逼近实数的效率[J].河南职业技术师范学院学报,2013(6):29-32. |
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| 作者姓名： | 张振亮 |
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| 作者单位： | 河南科技学院,河南新乡453000 |
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| 基金项目： | 院河南省教育厅自然科学研究项目渊2011A110005冤曰河南省科技攻关项目渊122102110038冤 |
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| 摘 要： | 研究了Engel展式中有无穷多个收敛因子是最佳逼近的点组成的集合,证明了几乎没有实数使得它的Engel展式中有无穷多个收敛因子是最佳逼近.另外,还给出了该集合的Hausdorff维数是大于1/2的.
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| 关 键 词： | 最佳逼近 Engel展式 Hausdorff维数 |
Efficiency of approximating reals for Engel expansion |
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| Zhang Zhenliang.Efficiency of approximating reals for Engel expansion[J].Journal of Henan Vocation-Technical Teachers College,2013(6):29-32. |
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| Authors: | Zhang Zhenliang |
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| Institution: | Zhang Zhenliang ( Henan Institute of Science and Technology,Xinxiang 453003,China) |
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| Abstract: | The set of points are investigated which convergents in Engel expansion are the optimal approximation for at least infinitely many times.It is shown that almost no points can have convergents as the optimal approximation for infinitely many times in Engel expansion. Consequently,we prove that its Hausdorff dimension is greater than 1/2. |
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| Keywords: | the best approximation Engel expansion Hausdorff dimension |
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