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20082018
most citedOn a Gauss-Kuzmin-Type Problem for a Family of Continued Fraction Expansions

20 citations

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math.NT2018★ 1 cited

Convergence rate for Rényi-type continued fraction expansions

Gabriela Ileana Sebe, Dan Lascu

This paper continues our investigation of Renyi-type continued fractions studied in \cite{Sebe&Lascu-2018}. A Wirsing-type approach to the Perron-Frobenius operator of the Rényi-ty…

math.NT2018★ 7 cited

A Gauss-Kuzmin-Lévy theorem for Rényi-type continued fractions

Dan Lascu, Gabriela Ileana Sebe

We consider an interval map which is a generalization of the Rényi transformation. For the continued fraction expansion arising from this transformation, we prove a result concerni…

math.NT2018★ 2 cited

A dependence with complete connections approach to generalized Rényi continued fractions

Gabriela Ileana Sebe, Dan Lascu

We introduce and study in detail a special class of backward continued fractions that represents a generalization of Rényi continued fractions. We investigate the main metrical pro…