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Matematicheskie Zametki, 2021, Volume 110, Issue 1, Pages 29–36
DOI: https://doi.org/10.4213/mzm13181 (Mi mzm13181) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Sharp Inequalities for Rational Functions on a Circle

V. N. Dubininab

a Far Eastern Federal University, Vladivostok
b Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
Full-text PDF (477 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm13181
Abstract: For rational functions with prescribed poles lying outside the unit circle $|z|=1$, sharp inequalities are established at points $z$, $|z|=1$. In contrast to the known results, the location of the specified poles on either side of the circle $|z|=1$ is allowed.
Keywords: polynomials, rational functions, Bernstein inequalities, rotation theorems.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00018
Ministry of Science and Higher Education of the Russian Federation 075-02-2020-1482-1
The work was carried out with financial support The Russian Foundation for Basic Research (grant no. 20-01-00018) and the Ministry of Education and Science of the Russian Federation (supplementary agreement of 21.04.2020 no. 075-02-2020-1482-1).
Received: 30.12.2020
English version:
Mathematical Notes, 2021, Volume 110, Issue 1, Pages 41–47
DOI: https://doi.org/10.1134/S000143462107004X
Bibliographic databases:
Document Type: Article
UDC: 517.535
Language: Russian
Citation: V. N. Dubinin, “Sharp Inequalities for Rational Functions on a Circle”, Mat. Zametki, 110:1 (2021), 29–36; Math. Notes, 110:1 (2021), 41–47
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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