@Article{ATA-36-4,
author = {Ruan, Huojun and Zhang, Na},
title = {Hausdorff Dimension of a Class of Weierstrass Functions},
journal = {Analysis in Theory and Applications},
year = {2020},
volume = {36},
number = {4},
pages = {482--496},
abstract = {<p style="text-align: justify;">It was proved by Shen that the graph of the classical Weierstrass function $\sum_{n=0}^\infty \lambda^n \cos (2\pi b^n x)$ has Hausdorff dimension $2+\log \lambda/\log b$, for every integer $b\geq 2$ and every $\lambda\in (1/b,1)$ [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 $b\geq 3$ and every $\lambda\in (1/b,1)$ if we replace the function $\cos$ by $\sin$ in the definition of Weierstrass function. A class of more general functions are also discussed.</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.OA-SU8},
url = {https://global-sci.com/article/73824/hausdorff-dimension-of-a-class-of-weierstrass-functions}
}