Title of article :
Hausdorff dimension of the graph of the error-sum function of α-Lüroth series
Author/Authors :
CHEN, HAIBO Zhongnan University of Economics and Law - School of Statistics and Mathematics, China , WANG, WENBO Second Institute of Oceanography,State Oceanic Administration - State Key Laboratory of Satellite Ocean Environment Dynamics, China , YU, MIN Wuhan University of Science and Technology - College of Science, China
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.
Keywords :
Hausdorff dimension , the alpha , Lüroth series , error , sum function
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics
