1986•Transactions of the American Mathematical SocietyRequires access

General convergence of continued fractions

Lisa Jacobsen

Open publisher page 41 citations

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.

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What this paper is about

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.

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OpenAlex reports 41 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

Key concepts: Convergence (economics), Mathematics, Convergence tests, Normal convergence, Compact convergence, Modes of convergence (annotated index), Applied mathematics, Weak convergence

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