Computational Methods and Function Theory 2 (2002), No. 2, 415--426
Copyright Heldermann Verlag 2002
Ulises Fidalgo Prieto
ulises@math.uc3m.es, Departamento de Matemáticas, Universidad Carlos III de Madrid, Avda. de la Universidad 30, 28911 Leganés, Spain.
Guillermo López Lagomasino
lago@math.uc3m.es, Departamento de Matemáticas, Universidad Carlos III de Madrid, Avda. de la Universidad 30, 28911 Leganés, Spain.
We prove perfectness for Nikishin systems made up of three functions and apply this to the convergence of the associated Hermite-Pad\'e approximant.
Keywords: Hermite-Padé approximation, simultaneous approximation, normal indices.
MSC 2000: 42C05.
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