1. Frobenius–Padé approximants of |x
- Author
-
Manuel Bello-Hernndez and Cibrn Santos-Touza
- Subjects
Varying measures ,Numerical Analysis ,Orthogonal polynomials ,Applied Mathematics ,General Mathematics ,010102 general mathematics ,Fourier–Padé approximation ,010103 numerical & computational mathematics ,Function (mathematics) ,Rational function ,01 natural sciences ,Chebyshev filter ,Combinatorics ,Frobenius–Padé approximation ,Rational approximation ,Convergence (routing) ,Spouge's approximation ,0101 mathematics ,Analysis ,Mathematics - Abstract
We construct the FrobeniusPadé approximants of the function |x| in (1,1) for the Chebyshev weight. These rational functions are linked with the FrobeniusPadé approximants of the function x in (0,1). We prove geometric convergence of the approximants of |x| in C{z:(z)=0}. © 2016 Elsevier Inc.
- Published
- 2016