•  
  •  
 

Turkish Journal of Mathematics

Abstract

Let \alpha be a countable partition of the unit interval [0,1]. In this paper, we will introduce the error-sum function of \alpha-Lüroth series and determine the Hausdorff dimension of its graph when the partition \alpha is eventually decreasing. Some other properties of the error-sum function are also investigated.

DOI

10.3906/mat-1309-63

Keywords

Hausdorff dimension, the \alpha-Lüroth series, error-sum function

First Page

803

Last Page

811

Plum Print visual indicator of research metrics
PlumX Metrics
  • Citations
    • Citation Indexes: 2
  • Usage
    • Downloads: 36
    • Abstract Views: 11
see details

Included in

Mathematics Commons

Share

COinS