Metrical Theory for a Class of Continued Fraction Transformations and Their Natural Extensions

Hitoshi Nakada

Type: Article

Publication Date: 1981-12-01

Citations: 172

DOI: https://doi.org/10.3836/tjm/1270215165

Abstract

In this note, first we will show the convergence of expansions with respect to $f_{\alpha}$ and some fundamental properties.The essential property of $\{f_{\alpha}\}$ is that the denominators $q_{n}$ of the n-th approximants with respect to $f_{\alpha}$ are always positive in contrast with the case of $S_{\alpha}$ .Next we will

Locations

Tokyo Journal of Mathematics - View - PDF

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Works Cited by This (1)

Action	Title	Year	Authors
+	ON THE INVARIANT MEASURE FOR THE TRANSFORMATIONS ASSOCIATED WITH SOME REAL CONTINUED-FRACTIONS.	1977	Hitoshi Nakada Shunji Ito Shigeru Tanaka