A priori truncation error bounds for continued fractions
type: Item
instance of: scholarly article
title: A priori truncation error bounds for continued fractions
zbMATH Open document ID: 1041.30001
author: Lisa Lorentzen
published in: Rocky Mountain Journal of Mathematics
publication date: 2004-03-17T00:00:00Z
review text: The author uses Thron's parabola sequence theorem and the oval sequence theorem to construct better approximations of a function by means of their continued fraction expansions. He indicates how to obtain truncation error bounds and gives some symmetrical illustrations and examples of such bounds for the continued fractions of \(\text{arc\,tan\,}z\), \(\text{tan\,}z\), the incomplete gamma function and the complementary error function. The paper demonstrates general techniques and the ideas can be generalized to more general continued fractions.
reviewed by: Yu Jiarong
Mathematics Subject Classification ID: 30B10
Mathematics Subject Classification ID: 40A15
zbMATH DE Number: 2060088
zbMATH Keywords: continued fractions
zbMATH Keywords: convergence
zbMATH Keywords: truncation error estimates
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1216/rmjm/1181069962
OpenAlex ID: W2093696092
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DOI: 10.1216/RMJM/1181069962
description: scientific article; zbMATH DE number 2060088