Title of article :
A Note on a Problem of J. Galambos
Author/Authors :
SHEN, Lu-ming Agriculture University Changsha - Science college of Hunan, CHINA , LIU, Yue-hua Agriculture University Changsha - Science college of Hunan, CHINA , ZHOU, Yu-yuan Agriculture University Changsha - Science college of Hunan, CHINA
Abstract :
be the Oppenheim series expansion of x. In this paper, we investigate the Hausdorff dimension of the set Bm = {x : 1 dj / hj−1(dj−1) ≤ m, j ≥ 1} which J. Galambos posed as an open question in 1976(see[6]).
Keywords :
Oppenheim series expansion , Restricted Oppenheim series expansion , Luroth series , Hausdorff dimension
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics
