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Please use this identifier to cite or link to this item:
http://hdl.handle.net/10016/6373
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| Title: | On the convergence of quadrature formulas connected with multipoint Padé-type approximants |
| Author(s): | González-Vera, Pablo
Jiménez Paiz, Mateo
Orive, Rafael
López Lagomasino, Guillermo |
| Publisher: | Elsevier |
| Issued date: | 15-Sep-1996 |
| Citation: | Journal of Mathematical Analysis and Applications, 1996, vol. 202, n. 3, p. 747-775 |
| URI: | http://hdl.handle.net/10016/6373 |
| ISSN: | 0022-247X |
| DOI: | 10.1006/jmaa.1996.0345 |
| Description: | 29 pages, no figures.-- MSC2000 codes: 41A55, 41A21.
MR#: MR1408352 (97e:41066)
Zbl#: Zbl 0856.41027 |
| Abstract: | Let $I(F)= \int _{- 1} F(x)\omega(x) dx$, where $\omega$ is a complex valued integrable function. We consider quadrature formulas for $I(F)$ which are exact with respect to rational functions with prescribed poles contained in $\overline{\bbfC}\backslash [- 1, 1]$. Their rate of convergence is studied. |
| Sponsor: | The research by the first three authors (P.G.-V., M.J.P., R.O.) was partially supported by the HCM project ROLLS, under Contract CHRX-CT93-0416. Research by the fourth author (G.L.L.) was carried out while on a visit at Universidad de La Laguna. This visit was made possible by a travel grant from CDE-IMU. |
| Review: | PeerReviewed |
| Publisher version: | http//dx.doi.org/10.1006/jmaa.1996.0345 |
| Keywords: | Multipoint Padé-type approximation
Quadrature formulas |
| Rights: | © Elsevier |
| Appears in Collections: | DM - GAMA - Artículos de Revistas
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