RT Journal Article T1 Hermite-Padé approximation and simultaneous quadrature formulas A1 Illán González, Jesús Ricardo A1 Fidalgo Prieto, Ulises A1 López Lagomasino, G. K1 1202.02 Teoría de la Aproximación 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 Journal of Approximation Theory SN 10960430 YR 2004 FD 2004 LK http://hdl.handle.net/11093/465 UL http://hdl.handle.net/11093/465 LA eng NO Journal of Approximation Theory, 126: 171-197 (2004) DS Investigo RD 23-sep-2023