A Šleszyňski--Pringsheim theorem for vector valued continued fractions and its optimal error bounds.

DOI10.1016/J.CAM.2003.08.079zbMath1039.40002OpenAlexW1994597185MaRDI QIDQ1427258

Gongqin Zhu, Jie-qing Tan, Huan-xi Zhao

Publication date: 14 March 2004

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2003.08.079

zbMATH Keywords

truncation error

Mathematics Subject Classification ID

Continued fractions; complex-analytic aspects (30B70) Convergence and divergence of continued fractions (40A15)

Cites Work

• Vector valued rational interpolants. I
• Continued fractions with applications
• Improved truncation error bounds for limit periodic continued fractions with additional assumptions on its elements
• A backward three-term recurrence relation for vector valued continued fractions and its applications
• A Worpitzky theorem for vector valued continued fractions
• Vector continued fractions
• The geometry of Pringsheim's continued fractions
• Approximants of Śleszyński-Pringsheim continued fractions

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