Convergence rate of Padé-type approximants for Stieltjes functions
✍ Scribed by M. Bello Hernández; F. Cala Rodríguez; J.J. Guadalupe; G. López Lagomasino
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 240 KB
- Volume
- 99
- Category
- Article
- ISSN
- 0377-0427
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✦ Synopsis
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.
📜 SIMILAR VOLUMES
A comparison is made between Pade and Pade -type approximants. Let Q n be the n th orthonormal polynomial with respect to a positive measure + with compact support in C. We show that for functions of the form where w is an analytic function on the support of +, Pade -type approximants with denomina
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