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.
✦ LIBER ✦
Best choice of the pole for the Padé-type approximant of a Stieltjes function
✍ Scribed by Jeannette Iseghem
- Publisher
- Springer US
- Year
- 1992
- Tongue
- English
- Weight
- 483 KB
- Volume
- 3
- Category
- Article
- ISSN
- 1017-1398
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Convergence rate of Padé-type approximan
✍
M. Bello Hernández; F. Cala Rodríguez; J.J. Guadalupe; G. López Lagomasino
📂
Article
📅
1998
🏛
Elsevier Science
🌐
English
⚖ 240 KB
Two-point Padé approximants for the expa
✍
Stanislaw Tokarzewski
📂
Article
📅
1996
🏛
Elsevier Science
🌐
English
⚖ 641 KB
On the A-acceptability of Padé-type appr
✍
Concepción González Concepción
📂
Article
📅
1987
🏛
Elsevier Science
🌐
English
⚖ 338 KB
In this paper we give necessary and sufficient conditions for the A-acceptability of certain rational approximants [1] to the exponential. Our tools are the C-polynomials [3] and the order star theory [2,5].
On the A-acceptability of Padé-type appr
✍
Concepción González Concepción
📂
Article
📅
1987
🏛
Elsevier Science
🌐
English
⚖ 413 KB
The divergence problem for multipoint Pa
✍
Hans Wallin
📂
Article
📅
1987
🏛
Elsevier Science
🌐
English
⚖ 265 KB
The convergence theorem of de Montessus de Ballore type is satisfactory also for multipoint Pad6 approximants with very general interpolation schemes. The corresponding divergence result is less satisfactory. Here, as partial result, it is shown that an interpolation scheme of Kakehashi [1] from 195
The divergence problem for multipoint Pa
✍
Hans Wallin
📂
Article
📅
1987
🏛
Elsevier Science
🌐
English
⚖ 322 KB