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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

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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.

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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