NAMColloquium Rational approximation of markov functions |  |
Speaker:Prof. Dr. Bernhard Beckermann, University of Lille, France
Organizer:Institut für Numerische und Angewandte Mathematik
Details:
We give some refined L∞ error estimates for rational approximation of Markov functions, such as f(z) = 1/ √ z discussed by Zolotarev. In particular, we give a worst case measure, allowing to bound above the relative error on the real axis (and the unit circle) for any other Markov function. Within the class of measures satisfying the Szeg˝o condition, it is known that, asymptotically, the worst case measure with support in [a, b] is the equilibrium measure. This is no longer true in the case of general measures supported on the real line, where we explicitly give for each degree a worst case measure, and compare with the error estimate given by Zolotarev.
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Type:Colloquium
Language:English
Category:Research
Host:Prof. Dr. Gerlind Plonka-Hoch
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Direct link to event:https://events.goettingen-campus.de/event?eventId=12481003
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