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An extension of Markov's Theorem


Authors: A. Branquinho, U. Fidalgo Prieto and A. Foulquié Moreno
Journal: Proc. Amer. Math. Soc. 142 (2014), 3491-3503
MSC (2010): Primary 30E10
DOI: https://doi.org/10.1090/S0002-9939-2014-12078-8
Published electronically: June 16, 2014
MathSciNet review: 3238424
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Abstract: We give a general sufficient condition for the uniform convergence of sequences of type II Hermite-Padé approximants associated with Nikishin systems of functions.


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Additional Information

A. Branquinho
Affiliation: CMUC, Department of Mathematics, University of Coimbra, Largo D. Dinis, 3001-454 Coimbra, Portugal
Email: ajplb@mat.uc.pt

U. Fidalgo Prieto
Affiliation: Departamento de Matemáticas, Universidad Carlos III de Madrid, Avda. Universidad 30, 28911 Leganés, Spain
Address at time of publication: Department of Mathematics, Hume Hall 305, University of Mississippi, P. O. Box 1848, University, Mississippi 38677-1848
Email: ufidalgo@olemiss.edu

A. Foulquié Moreno
Affiliation: Departamento de Matemática, Universidade de Aveiro, Campus de Santiago 3810, Aveiro, Portugal
Email: foulquie@ua.pt

DOI: https://doi.org/10.1090/S0002-9939-2014-12078-8
Received by editor(s): October 16, 2012
Received by editor(s) in revised form: October 17, 2012
Published electronically: June 16, 2014
Additional Notes: This work was supported by the Center for Mathematics of the University of Coimbra, Center for Research and Development in Mathematics and Applications (University of Aveiro), Acção Integrada Luso-Espanhola n. E-4/10, and Fundação para a Ciência e Tecnologia, through European program COMPETE/FEDER and grant SFRH/BPD/62947/2009. The second author also acknowledges support from Ministerio de Economía y Competitividad, under grant MTM2009-12740-C03-01
The authors are indebted to Professor G. López Lagomasino, who carefully read the manuscript and whose suggestions improved it
Communicated by: Walter Van Assche
Article copyright: © Copyright 2014 American Mathematical Society