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Zapiski Nauchnykh Seminarov POMI, 2004, Volume 314, Pages 155–173 (Mi znsl754)  
This article is cited in 5 scientific papers (total in 5 papers)

Inequalities for majorizing analytical functions

A. V. Olesov

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences
Full-text PDF (228 kB) Citations (5)
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Abstract: For analytic functions satisfying Meyman's majorization conditions, with the use of classical properties of conformal mappings exact inequalities complementing and strengthening the results of Akhiezer and Meyman are derived. As a corollary, for the modulus of the derivative of a rationally-trigonometric function a Bernstein type bound, which implies the result by Borwein, Erdélyi, and Zhang, is obtained.
Received: 19.04.2004
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 133, Issue 6, Pages 1693–1703
DOI: https://doi.org/10.1007/s10958-006-0081-2
Bibliographic databases:
UDC: 517.54
Language: Russian
Citation: A. V. Olesov, “Inequalities for majorizing analytical functions”, Analytical theory of numbers and theory of functions. Part 20, Zap. Nauchn. Sem. POMI, 314, POMI, St. Petersburg, 2004, 155–173; J. Math. Sci. (N. Y.), 133:6 (2006), 1693–1703
Citation in format AMSBIB
\Bibitem{Ole04}
\by A.~V.~Olesov
\paper Inequalities for majorizing analytical functions
\inbook Analytical theory of numbers and theory of functions. Part~20
\serial Zap. Nauchn. Sem. POMI
\yr 2004
\vol 314
\pages 155--173
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl754}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2119739}
\zmath{https://zbmath.org/?q=an:02213860}
\elib{https://elibrary.ru/item.asp?id=9129784}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 133
\issue 6
\pages 1693--1703
\crossref{https://doi.org/10.1007/s10958-006-0081-2}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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