International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 12, Pages 1943-1950
doi:10.1155/IJMMS.2005.1943
A Wirsing-type approach to some continued fraction expansion
Gabriela Ileana Sebe
Department of Mathematics I, “Politehnica” University of Bucharest, Splaiul Independentei 313, Bucharest 060042, Romania
Abstract
Chan (2004) considered a certain continued fraction expansion and the corresponding Gauss-Kuzmin-Lévy problem. A Wirsing-type approach to the Perron-Frobenius operator of the associated transformation under its invariant measure allows us to obtain a near-optimal solution to this problem.