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Abstract: Let f(z) = R (t \Gamma z) \Gamma1 d(t) be a Markov function, i.e., let is a positive measure with compact support in IR. We assume that supp() ` (\Gamma1; 1), and investigate the rational best approximants to f in the real Hardy space H 0 2 (V ), where V := fz 2 V j jzj ? 1 g and H 0 2 (V ) is the subset of functions f 2 H 2 (V ) with f(1) = 0. The central topic of the paper are asymptotic error estimates for these approximants. The results are presented in three groups. In the first ... (Update)
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BibTeX entry: (Update)
@misc{ baratchart-asymptotic,
author = "L. Baratchart and H. Stahl and F. Wielonsky",
title = "Asymptotic Error Estimates for L² Rational Best Approximants to Markov
Functions",
url = "citeseer.ist.psu.edu/402643.html" }
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