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On the convergence of quadrature formulas connected with multipoint Padé-type approximants

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URI: https://hdl.handle.net/10016/6373
ISSN: 0022-247X
DOI: 10.1006/jmaa.1996.0345
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convergence_lagomasino_jmaa_1996_ps.pdf (219.11 KB)
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1996-09-15
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Elsevier
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Abstract
^aLet $I(F)= \int^1_{- 1} F(x)\omega(x) dx$, 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.
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29 pages, no figures.-- MSC2000 codes: 41A55, 41A21.
MR#: MR1408352 (97e:41066)
Zbl#: Zbl 0856.41027
Keywords
Multipoint Padé-type approximation, Quadrature formulas
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Journal of Mathematical Analysis and Applications, 1996, vol. 202, n. 3, p. 747-775
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