Please use this identifier to cite or link to this item: http://hdl.handle.net/10016/6373

 Google™ Scholar. Others By: González-Vera, Pablo - Jiménez Paiz, Mateo - Orive, Rafael - López Lagomasino, Guillermo
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 Title: On the convergence of quadrature formulas connected with multipoint Padé-type approximants Author(s): González-Vera, PabloJiménez Paiz, MateoOrive, RafaelLópez 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 approximationQuadrature formulas Rights: © Elsevier Appears in Collections: DM - GAMA - Artículos de Revistas