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math.CV2018
Direct and Inverse Results for Multipoint Hermite-Pade Approximants
N. Bosuwan, G. Lopez Lagomasino, Y. Zaldivar Gerpe
Given a system of functions f = (f1, . . . , fd) analytic on a neighborhood of some compact subset E of the complex plane, we give necessary and sufficient conditions for the conve…
math.CV2018
Mixed type Hermite-Padé approximation inspired by the Degasperis-Procesi equation
G. López Lagomasino, S. Medina Peralta, J. Szmigielski
In this work we present new results on the convergence of diagonal sequences of certain mixed type Hermite-Padé approximants of a Nikishin system. The study is motivated by a mixed…
math.CV2018★ 2 cited
Direct and inverse results on row sequences of simultaneous Padé-Faber approximants
N. Bosuwan, G. López Lagomasino
Given a vector function analytic on a neighborhood of some compact subset of the complex plane with simply connected complement, we define a sequenc…