Two Constructive Results in Continued Fractions

DOI10.1137/0720088zbMath0549.40001OpenAlexW1977220756MaRDI QIDQ3343087

William B. Gragg, Daniel D. Warner

Publication date: 1983

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0720088

zbMATH Keywords

error boundsStieltjes fractionsHenrici-Pfluger boundParabola theoremVan Vleck-Jensen theorem

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Continued fractions (11A55) Convergence and divergence of continued fractions (40A15)

Related Items (6)

A survey of truncation error analysis for Padé and continued fraction approximants ⋮ Continued fractions in numerical analysis ⋮ Two-dimensional generalization of the Thron-Jones theorem on the parabolic domains of convergence of continued fractions ⋮ A priori truncation error bounds for continued fractions ⋮ Van Vleck's theorem on continued fractions ⋮ A truncation error bound for some branched continued fractions of the special form

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