Cantor type functions in non-integer bases
Classical Analysis and ODEs
2016-05-06 v1
Abstract
Cantor's ternary function is generalized to arbitrary base-change functions in non-integer bases. Some of them share the curious properties of Cantor's function, while others behave quite differently.
Cite
@article{arxiv.1605.01470,
title = {Cantor type functions in non-integer bases},
author = {Claudio Baiocchi and Vilmos Komornik and Paola Loreti},
journal= {arXiv preprint arXiv:1605.01470},
year = {2016}
}