RT Journal Article
T1 Direct and inverse results on row sequences of simultaneous Pade-Faber approximants
A1 Bosuwan, Nattapong
A1 López Lagomasino, Guillermo
AB Given a vector function F=(F1,...,Fd), analytic on a neighborhood of some compact subset E of the complex plane with simply connected complement, we define a sequence of vector rational functions with common denominator in terms of the expansions of the components Fk,k=1,...,d, with respect to the sequence of Faber polynomials associated with E. Such sequences of vector rational functions are analogous to row sequences of type II Hermite-Pade approximation. We give necessary and sufficient conditions for the convergence with geometric rate of the common denominators of the sequence of vector rational functions so constructed. The exact rate of convergence of these denominators is provided and the rate of convergence of the approximants is estimated. It is shown that the common denominators of the approximants detect the poles of the system of functions closest to E and their order.
PB Springer Nature
SN 1660-5446
YR 2019
FD 2019-04
LK https://hdl.handle.net/10016/38288
UL https://hdl.handle.net/10016/38288
LA eng
NO Nattapong Bosuwan was supported by the Strengthen Research Grant for New Lecturer from the Thailand Research Fund and the Office of the Higher Education Commission (MRG6080133) and Faculty of Science, Mahidol University. Guillermo Lopez Lagomasino was supported by research Grant MTM2015-65888-C4-2-P from Ministerio de Economia, Industria y Competitividad.
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RD 17 jul. 2024