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Hermite-Padé approximation and simultaneous quadrature formulas

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Hermite-Padé approximation and simultaneous quadrature formulas

Illán González, Jesús Ricardo; Fidalgo Prieto, Ulises; López Lagomasino, G.
 
DATE : 2004
UNIVERSAL IDENTIFIER : http://hdl.handle.net/11093/465
UNESCO SUBJECT : 1202.02 Teoría de la Aproximación
DOCUMENT TYPE : article

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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