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The convergence of Padé approximants to series of Stieltjes

✍ Scribed by Johan Karlsson; Björn von Sydow


Book ID
112741596
Publisher
Springer Netherlands
Year
1976
Tongue
English
Weight
453 KB
Volume
14
Category
Article
ISSN
0004-2080

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📜 SIMILAR VOLUMES


Padé approximation of Stieltjes series
✍ G.D Allen; C.K Chui; W.R Madych; F.J Narcowich; P.W Smith 📂 Article 📅 1975 🏛 Elsevier Science 🌐 English ⚖ 627 KB
Convergence rate of Padé-type approximan
✍ M. Bello Hernández; F. Cala Rodríguez; J.J. Guadalupe; G. López Lagomasino 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 240 KB

For a wide class of Stieltjes functions we estimate the rate of convergence of Pad6-type approximants when the number of fixed poles represents a fixed proportion with respect to the order of the rational approximant. (~) 1998 Elsevier Science B.V. All rights reserved.

Convergence Properties Related to p-Poin
✍ O. Njastad 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 377 KB

Let \(\psi\) be a finite positive measure on \(\mathbf{R}\), and let \(F_{\psi}(z)=\int_{-x}^{x}(d \psi(t) /(z-t))\) be its Stieltjes transform. A special multipoint Padé approximation problem for \(F_{\psi}(z)\) is studied, where the interpolation points are a finite number of points \(a_{1}, \ldot