Hermite-Padé approximation and simultaneous quadrature formulas
IDENTIFICADOR UNIVERSAL: http://hdl.handle.net/11093/465
VERSIÓN EDITADA: http://www.sciencedirect.com/science/article/pii/S0021904504000139
MATERIA UNESCO: 1202.02 Teoría de la Aproximación
TIPO DE DOCUMENTO: article
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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