On the convergence of Padé-type approximants to analytic functions
✍ Scribed by Michael Eiermann
- Book ID
- 107987733
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 661 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0377-0427
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.
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