Frobenius–Padé approximants of |x|
- Bello-Hernández, M. 1
- Santos-Touza, C. 2
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1
Universidad de La Rioja
info
- 2 IES Huarte, Carretera de Olaz-Txipi, s/n, Huarte, Navarra, Spain
ISSN: 0021-9045
Any de publicació: 2016
Volum: 211
Pàgines: 1-15
Tipus: Article
beta Ver similares en nube de resultadosAltres publicacions en: Journal of Approximation Theory
Resum
We construct the Frobenius–Padé approximants of the function |x| in (−1,1) for the Chebyshev weight. These rational functions are linked with the Frobenius–Padé approximants of the function x in (0,1). We prove geometric convergence of the approximants of |x| in C∖{z:ℜ(z)=0}. © 2016 Elsevier Inc.