Fidalgo Prieto, UlisesIllán, Jesús R.López Lagomasino, Guillermo2010-01-082010-01-082004-02Journal of Approximation Theory, 2004, vol. 126, n. 2, p. 171-1970021-9045http://hdl.handle.net/10016/629627 pages, no figures.-- MSC1991 code: Primary 42C05.MR#: MR2045538 (2005c:41024)Zbl#: Zbl 1065.42019We 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.application/pdfeng© ElsevierHermite-Padé approximationNikishin systemsSimultaneous quadraturesresearch articleMatemáticas10.1016/j.jat.2004.01.004open access