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Mathematics of the USSR-Izvestiya, 1975, Volume 9, Issue 2, Pages 390–394
DOI: https://doi.org/10.1070/IM1975v009n02ABEH001482 (Mi im1836) 		 
An inequality for the derivative of a polynomial with real coefficients

V. I. Buslaev
English version PDF (192 kB) Russian version article
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DOI: https://doi.org/10.1070/IM1975v009n02ABEH001482
Abstract: For the derivative of a polynomial with real coefficients we obtain an inequality which involves the distribution of the zeros of the polynomial. It is shown that for polynomials with arbitrary complex coefficients the inequality holds only under additional hypotheses.
Bibliography: 3 items.
Received: 15.10.1974
Bibliographic databases:
Document Type: Article
UDC: 517.5
MSC: 26A75
Language: English
Original paper language: Russian
Citation: V. I. Buslaev, “An inequality for the derivative of a polynomial with real coefficients”, Math. USSR-Izv., 9:2 (1975), 390–394
Citation in format AMSBIB
\Bibitem{Bus75}
\by V.~I.~Buslaev
\paper An inequality for the derivative of a~polynomial with real coefficients
\jour Math. USSR-Izv.
\yr 1975
\vol 9
\issue 2
\pages 390--394
\mathnet{http://mi.mathnet.ru//eng/im1836}
\crossref{https://doi.org/10.1070/IM1975v009n02ABEH001482}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=382568}
\zmath{https://zbmath.org/?q=an:0309.26012}
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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