A Note on a Problem of J. Galambos
Authors : Lu-ming Shen, Yue-hua Liu And Yu-yuan Zhou
Pages : 103-109
View : 7 | Download : 6
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :For any x\in (0,1], letx = \frac{1}{d1} + \frac{a1}{b1} \frac{1}{d2} + ··· + \frac{a1a2 ··· an}{b1b2 ··· bn} \frac{1}{dn+1} + ··· be the Oppenheim series expansion of x. In this paper, we investigate the Hausdorff dimension of the set Bm={x:1Keywords : Oppenheim series expansion, Restricted Oppenheim series expansion, Lüroth series, Hausdorff dimension