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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 263, Pages 70–83 (Mi znsl1136)  
This article is cited in 7 scientific papers (total in 7 papers)

Reduced moduli and inequalities for the polynomials

V. N. Dubinin, V. Yu. Kim

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences
Full-text PDF (214 kB) Citations (7)
Abstract: We apply the technique of generalized reduced modules in the proof of some inequalities for polynomials. Various estimates of the module of the derivative are obtained in terms of the module of the polynomial, of its leading coefficient, of the distribution of zeros, or of images of critical points.
Received: 27.08.1999
English version:
Journal of Mathematical Sciences (New York), 2002, Volume 110, Issue 6, Pages 3070–3077
DOI: https://doi.org/10.1023/A:1015468127306
Bibliographic databases:
UDC: 517.54+512.62
Language: Russian
Citation: V. N. Dubinin, V. Yu. Kim, “Reduced moduli and inequalities for the polynomials”, Analytical theory of numbers and theory of functions. Part 16, Zap. Nauchn. Sem. POMI, 263, POMI, St. Petersburg, 2000, 70–83; J. Math. Sci. (New York), 110:6 (2002), 3070–3077
Citation in format AMSBIB
\Bibitem{DubKim00}
\by V.~N.~Dubinin, V.~Yu.~Kim
\paper Reduced moduli and inequalities for the polynomials
\inbook Analytical theory of numbers and theory of functions. Part~16
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 263
\pages 70--83
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1136}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1756340}
\zmath{https://zbmath.org/?q=an:1004.30002}
\transl
\jour J. Math. Sci. (New York)
\yr 2002
\vol 110
\issue 6
\pages 3070--3077
\crossref{https://doi.org/10.1023/A:1015468127306}
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  • https://www.mathnet.ru/eng/znsl/v263/p70
    • 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
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