ON THE ERROR-SUM FUNCTION OF ALTERNATING LüROTH SERIES

ON THE ERROR-SUM FUNCTION OF ALTERNATING LüROTH SERIES

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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. 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.

作者 Luming Shen Chao Ma Jihong Zhang

机构地区 Science College of Hunan Agreculture University Nanjing University Wuhan University

出处《Analysis in Theory and Applications》 2006年第3期223-232,共10页 分析理论与应用（英文刊）

关键词 Alternating Lǖroth series error-sum function Hausdorff dimension Alternating Lǖroth series, error-sum function, Hausdorff dimension

分类号 O173 [理学—基础数学]

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Analysis in Theory and Applications

2006年第3期

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ON THE ERROR-SUM FUNCTION OF ALTERNATING LüROTH SERIES

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