Abstract
We establish estimates for the “tails” of periodic integral continued fractions with variable upper limits of integration. We prove a theorem on the uniform and absolute convergence of such fractions, and we obtain an estimate of their rate of convergence.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Additional information
Translated fromMatematichni Metodi ta Fiziko-Mekhanichni Polya, Vol. 39, No. 2, 1996, pp. 28–34
Rights and permissions
About this article
Cite this article
Antonova, T.M. On the convergence of periodic integral continued fractions with variable limits of integration. J Math Sci 90, 2341–2347 (1998). https://doi.org/10.1007/BF02433963
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02433963