摘要 : In this paper, we construct a class of nowhere differentiable continuous functions by means of the Cantor series expression of real numbers. The constructed functions include some known nondifferentiable functions, such as Bush ty... 展开
作者 | Hong-yong Wang Zong-ben Xu |
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作者单位 | |
英文名称 | Construction and Dimension Analysis for a Class of Fractal Functions |
期刊名称 | 《应用数学学报(英文版)》 |
期刊英文名称 | 《Acta Mathematicae Applicatae Sinica》 |
页码/总页数 | 431-440 / 10 |
语种 | 汉语 |
关键词 | Cantor series expression dyadic nondifferentiable fractal dimension H(o)lder continuity |
基金项目 | Supported by the Natural Science Foundation of Education Committee of Anhui Province (No.2001kj198zc). |
收录情况 | CSCD |