info:eu-repo/semantics/article
The Best Multipoint Padé Approximant
Fecha
2018-09Registro en:
Levis, Fabián Eduardo; Rodriguez, Claudia Noemi; The Best Multipoint Padé Approximant; Taylor & Francis; Numerical Functional Analysis And Optimization; 39; 14; 9-2018; 1495-1513
0163-0563
1532-2467
CONICET Digital
CONICET
Autor
Levis, Fabián Eduardo
Rodriguez, Claudia Noemi
Resumen
This paper is dealing with the problem of finding the best multipoint Padé approximant of an analytic function when data in some neighborhoods of sampling points are more important than others. More exactly, we obtain a multipoint Padé approximants as limits of best rational Lp-approximations on union of disks, when the measure of them tends to zero with different speeds. As such, this technique provides useful qualitative and analytic information concerning the approximants, which is difficult to obtain from a strictly numerical treatment.