Convergence of Padé approximants to e−z on unbounded sets
✍ Scribed by E.B Saff; R.S Varga
- Publisher
- Elsevier Science
- Year
- 1975
- Tongue
- English
- Weight
- 780 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0021-9045
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📜 SIMILAR VOLUMES
analytic in a neighborhood of infinity will be approximated by Pade approximants. In a first group of results rather strong assumptions are made about the singularities of the function f to be approximated (Assumption 1.1). In a second group (Definition 1.3 and Theorem 1.7) a different type of assum
In previous papers the convergence of sequences of ``rectangular'' multivariate Pade -type approximants was studied. In other publications definitions of ``triangular'' multivariate Pade -type approximants were given. We extend these results to the general order definition where the choice of the de
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