The Hausdorff dimension of graph of a class of Weierstrass functions

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	The Hausdorff dimension of graph of a class of Weierstrass functions
	Sun, DC ; Wen, ZY
	1996-10-01
发表期刊	PROGRESS IN NATURAL SCIENCE
ISSN	1002-0071
卷号	6 期号:5 页码:547-553
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.
关键词	Weierstrass function Hausdorff dimension fractal
语种	英语
WOS研究方向	Materials Science ; Science & Technology - Other Topics
WOS类目	Materials Science, Multidisciplinary ; Multidisciplinary Sciences
WOS记录号	WOS:A1996VL70500004
出版者	TAYLOR & FRANCIS LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/28815
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.