Sharp inequalities for the Padé approximant errors in the Stieltjes case

DOI10.1216/rmjm/1181073005zbMath0735.41016OpenAlexW2036840295MaRDI QIDQ1178585

Alphonse P. Magnus, Jacek Gilewicz

Publication date: 26 June 1992

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181073005

zbMATH Keywords

nonrational Stieltjes function

Mathematics Subject Classification ID

Padé approximation (41A21)

Related Items (4)

Optimal inequalities of padé approximant errors in the stieltjes case: closing result ⋮ 100 years of improvements of bounding properties of Padé approximants to the Stieltjes functions: One-point, two-point and N-point Padé approximants ⋮ Inequalities and monotonicity of ratios for generalized hypergeometric function ⋮ Inverse Stieltjes iterates and errors of Padé approximants in the whole complex plane

Cites Work

• Unnamed Item
• The convergence of Padé approximants to series of Stieltjes
• Accélération de la convergence en analyse numérique
• Convergence acceleration of some sequences by the epsilon-algorithm
• Approximants de Padé
• A class of orthogonal polynomials
• Extremal properties of Padé quotients

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