Geodesic
Hermite–Padé approximation for Nikishin systems of analytic functions
Sbornik. Mathematics, Tome 77 (1994) no. 2, pp. 367-384 Cet article a éte moissonné depuis la source Math-Net.Ru

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Nikishin type systems of analytic functions are considered. For such systems, convergence of the main diagonal of the associated Hermite-Padé approximants is proved, when interpolation is equally distributed between the functions. If interpolation is 'nearly' equally distributed, then convergence in capacity takes place. Multipoint Padé approximation plays a key role in the proof. 
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     title = {Hermite{\textendash}Pad\'e approximation for {Nikishin} systems of analytic functions},
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Zh. Bustamante; G. López Lagomasino. Hermite–Padé approximation for Nikishin systems of analytic functions. Sbornik. Mathematics, Tome 77 (1994) no. 2, pp. 367-384. http://geodesic.mathdoc.fr/item/SM_1994_77_2_a7/

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