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December 2010 Convergence Rate for a Continued Fraction Expansion Related to Fibonacci Type Sequences
Gabriela Ileana SEBE
Tokyo J. Math. 33(2): 487-497 (December 2010). DOI: 10.3836/tjm/1296483483

Abstract

Chan ([2], [3]) considered some continued fraction expansions related to random Fibonacci-type sequences. A Wirsing-type approach to the Perron-Frobenius operator of the associated transformation under its invariant measure allows us to study the optimality of the convergence rate. Actually, we obtain upper and lower bounds of the convergence rate which provide a near-optimal solution to the Gauss-Kuzmin-Lévy problem.

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Gabriela Ileana SEBE. "Convergence Rate for a Continued Fraction Expansion Related to Fibonacci Type Sequences." Tokyo J. Math. 33 (2) 487 - 497, December 2010. https://doi.org/10.3836/tjm/1296483483

Information

Published: December 2010
First available in Project Euclid: 31 January 2011

zbMATH: 1227.11094
MathSciNet: MR2779430
Digital Object Identifier: 10.3836/tjm/1296483483

Subjects:
Primary: 11K50
Secondary: 47B38, 60F05

Rights: Copyright © 2010 Publication Committee for the Tokyo Journal of Mathematics

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Vol.33 • No. 2 • December 2010
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