The Hausdorff dimension of graph of a class of Weierstrass functions
文献类型:期刊论文
作者 | Sun, DC; Wen, ZY |
刊名 | PROGRESS IN NATURAL SCIENCE
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出版日期 | 1996-10-01 |
卷号 | 6期号:5页码:547-553 |
关键词 | Weierstrass function Hausdorff dimension fractal |
ISSN号 | 1002-0071 |
英文摘要 | Consider the following type of Weierstrass functions f(x) = Sigma(j greater than or equal to 1)lambda(j)(s-2)cos(lambda,x), 1 < s < 2, where x is an element of I = [0, 2 pi], lambda(j) up arrow infinity. Determine the Hausdorff dimension of graph of the above functions under some weak conditions, which generalizes some known results. |
WOS研究方向 | Materials Science ; Science & Technology - Other Topics |
语种 | 英语 |
WOS记录号 | WOS:A1996VL70500004 |
出版者 | TAYLOR & FRANCIS LTD |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/28814] ![]() |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Sun, DC |
作者单位 | 1.CHINESE ACAD SCI,INST APPL MATH,BEIJING 100080,PEOPLES R CHINA 2.WUHAN UNIV,DEPT MATH,WUHAN 430072,PEOPLES R CHINA |
推荐引用方式 GB/T 7714 | Sun, DC,Wen, ZY. The Hausdorff dimension of graph of a class of Weierstrass functions[J]. PROGRESS IN NATURAL SCIENCE,1996,6(5):547-553. |
APA | Sun, DC,&Wen, ZY.(1996).The Hausdorff dimension of graph of a class of Weierstrass functions.PROGRESS IN NATURAL SCIENCE,6(5),547-553. |
MLA | Sun, DC,et al."The Hausdorff dimension of graph of a class of Weierstrass functions".PROGRESS IN NATURAL SCIENCE 6.5(1996):547-553. |
入库方式: OAI收割
来源:数学与系统科学研究院
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