@Article{ATA-31-92,
author = {Shaoyuan Xu , Wangbin Xu ,  and Zuoling Zhou , },
title = {Some Results on the Upper Convex Densities of the Self-Similar Sets at the Contracting-Similarity Fixed Points},
journal = {Analysis in Theory and Applications},
year = {2017},
volume = {31},
number = {1},
pages = {92--100},
abstract = {<p style="text-align: justify;">In this paper, some results on the upper convex densities of self-similar sets at the contracting-similarity fixed points are discussed. Firstly, a characterization of the upper convex densities of self-similar sets at the contracting-similarity fixed points is given. Next, under the strong separation open set condition, the existence of the best shape for the upper convex densities of self-similar sets at the contracting-similarity fixed points is proven. As consequences, an open problem and a conjecture, which were posed by Zhou and Xu, are answered.</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.2015.v31.n1.8},
url = {http://global-sci.org/intro/article_detail/ata/4625.html}
}