Frobenius-Pade approximants of |x|

被引：1
|
作者：
Bello-Hernandez, Manuel [1 ]
Santos-Touza, Cibran [2 ]
机构：
[1] Univ La Rioja, Dept Matemat & Computac, Edif JL Vives,Calle Luis de Ulloa 2, Logrono 26004, Spain
[2] IES Huarte, Carretera Olaz Txipi S-N, Navarra 31620, Spain
来源：
JOURNAL OF APPROXIMATION THEORY | 2016年 / 211卷
关键词：
Frobenius-Pade approximation; Fourier-Pade approximation; Rational approximation; Orthogonal polynomials; Varying measures; GIBBS PHENOMENON; SYSTEMS;
D O I：
10.1016/j.jat.2016.07.002
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct the Frobenius-Pade approximants of the function vertical bar x vertical bar in (-1, 1) for the Chebyshev weight. These rational functions are linked with the Frobenius-Pade approximants of the function root x in (0, 1). We prove geometric convergence of the approximants of vertical bar x vertical bar in C \ {z : K(z) = 0}. (C) 2016 Elsevier Inc. All rights reserved.
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页码：1 / 15
页数：15
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