Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606843 | Journal of Approximation Theory | 2016 | 31 Pages |
Abstract
We derive lower bounds in rational approximation of given degree to functions in the Hardy space H2H2 of the unit disk. We apply these to asymptotic error rates in rational approximation to Blaschke products and to Cauchy integrals on geodesic arcs. We also explain how to compute such bounds, either using Adamjan–Arov–Krein theory or linearized errors, and we present a couple of numerical experiments. We dwell on a maximin principle developed in Baratchart and Seyfert (2002).
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Laurent Baratchart, Sylvain Chevillard, Tao Qian,