- Turkish Journal of Mathematics
- Vol: 38 Issue: 5
- Hausdorff dimension of the graph of the error-sum function of a-Lüroth series
Hausdorff dimension of the graph of the error-sum function of a-Lüroth series
Authors : Haibo Chen, Wenbo Wang, Min Yu
Pages : 803-811
Doi:10.3906/mat-1309-63
View : 9 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :Let a be a countable partition of the unit interval [0,1]. In this paper, we will introduce the error-sum function of a-Lüroth series and determine the Hausdorff dimension of its graph when the partition a is eventually decreasing. Some other properties of the error-sum function are also investigated.Keywords : Hausdorff dimension, the a-Lüroth series, error-sum function