A two-dimensional Gauss-Kuzmin theorem for singular continued fractions |
| |
Authors: | Gabriella Ileana Sebe |
| |
Affiliation: | Department of Mathematics I, Politehnica University of Bucharest, Splaiul Independenei 313, 77206 Buchares, Romania |
| |
Abstract: | A very simple proof of a generalization of the Gauss-Kuzmin theorem for singular continued fractions is given by considering the transition operator defined in [Se] as an operator on the Banach space BV(W) of complex-valued functions of bounded variation on W = [0, ()]. The upper bound obtained here implies that the convergence rate, O(αn), with 0.17 ≤ α ≤ 0.47 < g, is better than that obtained in [DK]. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|