Optimal inequalities of padé approximant errors in the stieltjes case: closing result

DOI10.1080/10652469308819003zbMath0822.41014OpenAlexW2087457302MaRDI QIDQ4837494

Jacek Gilewicz, Alphonse P. Magnus

Publication date: 8 October 1995

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469308819003

zbMATH Keywords

continued fractionsStieltjes transforms

Mathematics Subject Classification ID

Padé approximation (41A21) Other functions defined by series and integrals (33E20) Continued fractions and generalizations (11J70) Spline approximation (41A15)

Related Items (5)

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 ⋮ Padé-type approximants and errors of Padé approximants ⋮ Inverse Stieltjes iterates and errors of Padé approximants in the whole complex plane ⋮ Continued fractions, two-point Padé approximants and errors in the Stieltjes case

Cites Work

• Sharp inequalities for the Padé approximant errors in the Stieltjes case
• Convergence acceleration of some sequences by the epsilon-algorithm
• On the Convergence and Stability of the Epsilon Algorithm
• Unnamed Item

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