Continued fractions, two-point Padé approximants and errors in the Stieltjes case

DOI10.1016/S0377-0427(01)00538-6zbMath0998.41005MaRDI QIDQ1612390

Jacek Gilewicz, Maciej Pindor, Stanisław Tokarzewski, Józef Joachim Telega

Publication date: 22 August 2002

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

zbMATH Keywords

continued fractiontwo-point Padé approximationStieltjes function

Mathematics Subject Classification ID

Padé approximation (41A21) Continued fractions and generalizations (11J70)

Related Items (4)

Global approximation for some functions ⋮ 100 years of improvements of bounding properties of Padé approximants to the Stieltjes functions: One-point, two-point and N-point Padé approximants ⋮ \(N\)-point Padé approximants and two-sided estimates of errors on the real axis for Stieltjes functions ⋮ Estimation of a Stieltjes function expanded to Taylor series at complex conjugate points

Cites Work

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• Approximants de Padé
• Inverse Stieltjes iterates and errors of Padé approximants in the whole complex plane
• Inequalities for two-point Padé approximants to the expansions of Stieltjes functions in a real domain
• Bounds on effective moduli by analytical continuation of the Stieltjes function expanded at zero and infinity
• Two-point Padé approximants for the expansions of Stieltjes functions in real domain
• \(N\)-point Padé approximants to real-valued Stieltjes series with nonzero radii of convergence
• On the relation between measures defining the Stieltjes and the inverted Stieltjes functions
• A Contribution to the Bounds on Real Effective Moduli of Two-Phase Composite Materials
• Optimal inequalities of padé approximant errors in the stieltjes case: closing result

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