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Hermite-Padé approximation and simultaneous quadrature formulas

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URI: https://hdl.handle.net/10016/6296
ISSN: 0021-9045
DOI: 10.1016/j.jat.2004.01.004
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hermite_lagomasino_jat_2004_ps.pdf (212.25 KB)
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2004-02
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Elsevier
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Abstract
We study Hermite–Padé approximation of the so-called Nikishin systems of functions. In particular, the set of multi-indices for which normality is known to take place is considerably enlarged as well as the sequences of multi-indices for which convergence of the corresponding simultaneous rational approximants takes place. These results are applied to the study of the convergence properties of simultaneous quadrature rules of a given function with respect to different weights.
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27 pages, no figures.-- MSC1991 code: Primary 42C05.
MR#: MR2045538 (2005c:41024)
Zbl#: Zbl 1065.42019
Keywords
Hermite-Padé approximation, Nikishin systems, Simultaneous quadratures
Bibliographic citation
Journal of Approximation Theory, 2004, vol. 126, n. 2, p. 171-197
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