Fidalgo Prieto, UlisesLópez Lagomasino, Guillermo2010-01-042010-01-042010-01-15Journal of Computational and Applied Mathematics, 2010, vol. 233, n. 6, p. 1525-15330377-0427https://hdl.handle.net/10016/62659 pages, no figures.-- MSC1991 code: Primary 42C05.-- Issue title: "Special Functions, Information Theory, and Mathematical Physics". Special issue dedicated to Professor Jesús Sánchez Dehesa on the occasion of his 60th birthday.Zbl#: Zbl pre05650072Nikishin systems of three functions are considered. For such systems, the rate of convergence of simultaneous interpolating rational approximations with partially prescribed poles is studied. The solution is described in terms of the solution of a vector equilibrium problem in the presence of a vector external field.application/pdfeng© ElsevierApproximation by rational functionRate of convergenceSimultaneous approximationresearch articleMatemáticas10.1016/j.cam.2009.02.068open access