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
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
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.
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