RT Journal Article
T1 Hermite-Padé approximation and simultaneous quadrature formulas
A1 Fidalgo Prieto, Ulises
A1 Illán, Jesús R.
A1 López Lagomasino, Guillermo
AB 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.
PB Elsevier
SN 0021-9045
YR 2004
FD 2004-02
LK https://hdl.handle.net/10016/6296
UL https://hdl.handle.net/10016/6296
LA eng
NO 27 pages, no figures.-- MSC1991 code: Primary 42C05.
NO MR#: MR2045538 (2005c:41024)
NO Zbl#: Zbl 1065.42019
NO The work of U.F.P. and G.L.L. was partially supported by Dirección General de Enseñanza Superior under Grant BFM2003-06335-C03-02 and of G.L.L. by INTAS under Grant INTAS 03-51-6637.
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