Publication:
Generalized Hermite-Padé approximation for Nikishin systems of three functions

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2010-01-15
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Elsevier
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Abstract
Nikishin 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.
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9 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 pre05650072
Keywords
Approximation by rational function, Rate of convergence, Simultaneous approximation
Bibliographic citation
Journal of Computational and Applied Mathematics, 2010, vol. 233, n. 6, p. 1525-1533