On the convergence of type I Hermite–Padé approximants for rational perturbations of a Nikishin system

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摘要

We study the convergence of type I Hermite–Padé approximation for a class of meromorphic functions obtained by adding a vector of rational functions with real coefficients to a Nikishin system of functions.

论文关键词:primary,30E10,42C05,secondary,41A20,Multiple orthogonal polynomials,Nikishin systems,Type I Hermite–Padé approximation

论文评审过程:Received 24 May 2014, Revised 8 January 2015, Available online 21 January 2015.

论文官网地址:https://doi.org/10.1016/j.cam.2015.01.010