首页> 中文期刊> 《分析、理论与应用(英文版)》 >Hausdorff Dimension of a Class of Weierstrass Functions

Hausdorff Dimension of a Class of Weierstrass Functions

     

摘要

It was proved by Shen that the graph of the classical Weierstrass function ∑n∞=0λncos(2πbnx) has Hausdorff dimension 2 + log λ/log b, for every integer b ≥ 2 and every λ∈(1/b, 1) [Hausdorff dimension of the graph of the classical Weierstrass functions, Math. Z., 289(2018), 223–266]. In this paper, we prove that the dimension formula holds for every integer b ≥ 3 and every λ∈(1/b, 1) if we replace the function cos by sin in the definition of Weierstrass function. A class of more general functions are also discussed.

著录项

获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号