A Generalization of Gauss-Kuzmin-Lévy Theorem

Abstract

We prove a generalized Gauss-Kuzmin-Lévy theorem for the $p$-numerated generalized Gauss transformation $$T_p(x)=\{\frac{p}{x}\}.$$ In addition, we give an estimate for the constant that appears in the theorem.

8 pages

References in corpus (2)

• Dependence with complete connections and the Gauss-Kuzmin theorem for N-continued fractions
• Metric properties of N-continued fractions

Cited by in corpus (2)

• A Generalization of the Gauss-Kuzmin-Wirsing constant
• Errata and Addenda to Mathematical Constants