RT Journal Article
T1 Direct and inverse results for multipoint Hermite-Padé approximants
A1 Bosuwan, Nattapong
A1 López Lagomasino, Guillermo
A1 Zaldivar Gerpe, Yanely
AB Given a system of functions f = ( f1,..., fd ) analytic on a neighborhood of some compact subset E of the complex plane with simply connected complement in the extended complex plane, we give necessary and sufficient conditions for the convergence with geometric rate of the common denominators of row sequences of multipoint Hermite–Padé approximants under a general extremal condition on the table of interpolation points. The exact rate of convergence of these denominators is provided and the rate of convergence of the simultaneous approximants is estimated. These results allow us to detect the location of the poles of the system of functions which are in some sense closest to E.
PB Springer Nature
SN 1664-2368
YR 2019
FD 2019-06
LK https://hdl.handle.net/10016/38290
UL https://hdl.handle.net/10016/38290
LA eng
NO Special Issue: Complex Analysis, Potential Theory and Applications
NO The research of N. 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. The research of G. López Lagomasino and Y. Zaldivar Gerpe received support from Research Grant MTM 2015-65888-C4-2-P of Ministerio de Economía, Industria y Competitividad, Spain.
DS e-Archivo
RD 17 jul. 2024