Title
Rational approximants associated with measures supported on the unit circle and the real line.
Abstract
As a continuation of the well known connection between the theory of orthogonal polynomials on the unit circle and the interval [−1,1], in this paper properties concerning error and convergence of certain rational approximants associated with the measures dμ(t) and dσ(θ)=|dμ(cosθ)| supported on [−1,1] and the unit circle respectively are deduced. Numerical illustrations are also given.
Year
DOI
Venue
2011
10.1016/j.cam.2011.05.042
Journal of Computational and Applied Mathematics
Keywords
DocType
Volume
Markov function,Orthogonal polynomials,Quadrature formulas,Padé approximants,Error estimates,Convergence
Journal
236
Issue
ISSN
Citations 
1
0377-0427
2
PageRank 
References 
Authors
0.42
2
3
Name
Order
Citations
PageRank
Ruymán Cruz-Barroso1254.75
Pablo GonzáLez-Vera210017.26
Francisco Perdomo-Pío340.94