Kalmykov, Sergei and Nagy, Béla (2015) Polynomial and rational inequalities on analytic Jordan arcs and domains. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 430 (2). pp. 874-894. ISSN 0022-247X
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Abstract
In this paper we prove an asymptotically sharp Bernstein-type inequal- ity for polynomials on analytic Jordan arcs. Also a general statement on mapping of a domain bounded by finitely many Jordan curves onto a complement to a system of the same number of arcs with rational func- tion is presented here. This fact, as well as, Borwein-Erdélyi inequality for derivative of rational functions on the unit circle, Gonchar-Grigorjan estimate of the norm of holomorphic part of meromorphic functions and Totik’s construction of fast decreasing polynomials play key roles in the proof of the main result.
Item Type: | Article |
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Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
SWORD Depositor: | MTMT SWORD |
Depositing User: | MTMT SWORD |
Date Deposited: | 25 Oct 2023 14:45 |
Last Modified: | 25 Oct 2023 14:45 |
URI: | http://real.mtak.hu/id/eprint/177810 |
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