RT Journal Article
T1 Overconvergence of subsequences of rows of Padé approximants with gaps
A1 Fernández Infante, Abel
A1 López Lagomasino, Guillermo
AB The block structure of the Padé table associated with a formal power series is well known. We study the analytic properties of the given power series in the case that as we travel along a row of the corresponding table, we encounter blocks of increasing size. Thus, we extend to row sequences of Padé approximants some classical results due to Hadamard and Ostrowski related with the overconvergence of subsequences of Taylor polynomials and the analytic properties of the limit function under the presence of gaps in the power series.
PB Elsevier
SN 0377-0427
YR 1999
FD 1999-05
LK https://hdl.handle.net/10016/6362
UL https://hdl.handle.net/10016/6362
LA eng
NO 9 pages, no figures.-- MSC2000 codes: 41A21, 65D15.
NO MR#: MR1690593 (2000f:41020)
NO Zbl#: Zbl 0943.41007
NO Research by second author (G.L.L.) partially supported by RG-297 Maths/LA from Third World Academy of Science.
DS e-Archivo
RD 18 may. 2024