General convergence of continued fractions-Reference-Cited by-同舟云学术

General convergence of continued fractions

Published:1986 Issue:2 Volume:294 Page:477-485
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Jacobsen Lisa

Abstract

We introduce a new concept of convergence of continued fractions—general convergence. Moreover, we compare it to the ordinary convergence concept and to strong convergence. Finally, we prove some properties of general convergence.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1986-294-02/S0002-9947-1986-0825716-1/S0002-9947-1986-0825716-1.pdf

Reference9 articles.

1. International Series in Pure and Applied Mathematics;Ahlfors, Lars V.,1978

2. Marcel G. de Bruin and Lisa Jacobsen, The dominance concept for linear recurrence relations with applications to continued fractions (to appear).

3. Über eine Erweiterung des Stieltjesschen Momentenproblems;Hamburger, Hans;Math. Ann.,1920

4. G. Hamel, Über einen limitärperiodischen Kettenbruch, Arch. Math. Phys. 27 (1918), 37-43.

5. Lisa Jacobsen, Modified approximants for continued fractions. Construction and applications, Det Kgl. Norske Vid. Selsk. Skr. No. 3 (1983), 1-46.

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