The Hausdorff dimension of graph of a class of Weierstrass functions

被引：0
|
作者：
Sun, DC [2 ]
Wen, ZY
机构：
[1] CHINESE ACAD SCI,INST APPL MATH,BEIJING 100080,PEOPLES R CHINA
[2] WUHAN UNIV,DEPT MATH,WUHAN 430072,PEOPLES R CHINA
来源：
PROGRESS IN NATURAL SCIENCE | 1996年 / 6卷 / 05期
关键词：
Weierstrass function; Hausdorff dimension; fractal;
D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
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.
引用
收藏
页码：547 / 553
页数：7
相关论文
共 50 条
12345