Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Zapiski Nauchnykh Seminarov POMI, 2002, Volume 286, Pages 85–102 (Mi znsl1569)  
This article is cited in 7 scientific papers (total in 7 papers)

Application of conformal mappings to the inequalities for polynomials

V. N. Dubinina, A. V. Olesovb

a Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences
b Maritime State University named after G. I. Nevelskoi
Full-text PDF (227 kB) Citations (7)
Abstract: Applications of the geometric theory of functions to inequalities for algebraic polynomials are considered. The main attention is paid to constructing a univalent conformal mapping for a given polynomial and to applying the Lebedev and Nehari theorems to this mapping. A new sharp inequality of Bernshtein type for polynomials with restrictions on the growth on a segment or on a circle, inequalities with restrictions on the zeros of the polynomial, and other inequalities are obtained. In particular, classical inequalities by Markov, Bernshtein, and Schur are strengthened.
Received: 19.04.2002
English version:
Journal of Mathematical Sciences (New York), 2004, Volume 122, Issue 6, Pages 3630–3640
DOI: https://doi.org/10.1023/B:JOTH.0000035238.79760.70
Bibliographic databases:
UDC: 512.62+517.54
Language: Russian
Citation: V. N. Dubinin, A. V. Olesov, “Application of conformal mappings to the inequalities for polynomials”, Analytical theory of numbers and theory of functions. Part 18, Zap. Nauchn. Sem. POMI, 286, POMI, St. Petersburg, 2002, 85–102; J. Math. Sci. (N. Y.), 122:6 (2004), 3630–3640
Citation in format AMSBIB
\Bibitem{DubOle02}
\by V.~N.~Dubinin, A.~V.~Olesov
\paper Application of conformal mappings to the inequalities for polynomials
\inbook Analytical theory of numbers and theory of functions. Part~18
\serial Zap. Nauchn. Sem. POMI
\yr 2002
\vol 286
\pages 85--102
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1569}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1937370}
\zmath{https://zbmath.org/?q=an:1074.30003}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2004
\vol 122
\issue 6
\pages 3630--3640
\crossref{https://doi.org/10.1023/B:JOTH.0000035238.79760.70}
Linking options:
  • https://www.mathnet.ru/eng/znsl1569
  • https://www.mathnet.ru/eng/znsl/v286/p85
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:375
    Full-text PDF :124
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024