The bounding properties of the multipoint Padé approximant to a series of Stieltjes on the real line

DOI10.1063/1.1666314zbMath0279.41013OpenAlexW2054355058MaRDI QIDQ4765540

Michael F. Barnsley

Publication date: 1973

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1666314

Mathematics Subject Classification ID

Approximation by rational functions (41A20)

Related Items (10)

Bi-orthogonality in rational approximation ⋮ Szegö functions and multipoint Padé approximation ⋮ 100 years of improvements of bounding properties of Padé approximants to the Stieltjes functions: One-point, two-point and N-point Padé approximants ⋮ The Density of Alternation Points in Rational Approximation ⋮ Approximation of smooth functions by weighted means of \(N\)-point Padé approximants ⋮ On the Newton-Padé approximation problem ⋮ Padé approximant bounds on the positive solutions of some nonlinear elliptic equations ⋮ Bigradients, Hankel determinants and the Newton-Padé table ⋮ A variational approach to the theory of multipoint Padé approximants ⋮ An approximation method to relate the linear viscoelastic functions

Cites Work

• Approximation by rational functions: Open problems
• A variational approach to the theory of multipoint Padé approximants
• Padé Approximants and Bounds to Series of Stieltjes
• Best Error Bounds for Padé Approximants to Convergent Series of Stieltjes

This page was built for publication: The bounding properties of the multipoint Padé approximant to a series of Stieltjes on the real line