Journals / Turkish Journal of Mathematics / 2014 / Cilt: 38 - Sayı: 5
Hausdorff dimension of the graph of the error-sum function of a-Lüroth series
- Pages
- 803–811
- DOI
- —
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.
Özet
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.