International Journal of Mathematics and Mathematical Sciences
Volume 2011 (2011), Article ID 514746, 8 pages
Research Article

On a Gauss-Kuzmin-Type Problem For a Generalized Gauss-Kuzmin Operator

Section of Mathematics and Statistics, Department of Civil Engineering, School of Technological Sciences, University of Thessaly, Pedion Areos, 38334 Volos, Greece

Received 20 April 2011; Accepted 15 June 2011

Academic Editor: Naseer Shahzad

Copyright © 2011 Chrysoula Ganatsiou. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A generalized limit probability measure associated with a random system with complete connections for a generalized Gauss-Kuzmin operator, only for a special case, is defined, and its behaviour is investigated. As a consequence a specific version of Gauss-Kuzmin-type problem for the above generalized operator is obtained.