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Transactions of the American Mathematical Society

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General convergence of continued fractions

Author: Lisa Jacobsen
Journal: Trans. Amer. Math. Soc. 294 (1986), 477-485
MSC: Primary 40A15; Secondary 30B70
MathSciNet review: 825716
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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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Keywords: Continued fractions, convergence, modified approximants
Article copyright: © Copyright 1986 American Mathematical Society