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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, Number 5, Pages 101–108 (Mi ivm1283)  
Turán-type inequalities for complex polynomials in the $L_0$-metric

È. A. Storozhenko

Odessa State University, Odessa, Ukraine
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Abstract: In this paper we obtain inequalities for measures of trigonometric polynomials of the power ($P_n(e^{i\varphi})$) and general ($T_n(t)$) types with the help of measures and their $m$th derivatives.
Keywords: the Turán-type inequalities, $L_0$-metrics.
Received: 28.05.2007
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2008, Volume 52, Issue 5, Pages 88–94
DOI: https://doi.org/10.3103/S1066369X08050113
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: È. A. Storozhenko, “Turán-type inequalities for complex polynomials in the $L_0$-metric”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 5, 101–108; Russian Math. (Iz. VUZ), 52:5 (2008), 88–94
Citation in format AMSBIB
\Bibitem{Sto08}
\by \`E.~A.~Storozhenko
\paper Tur\'an-type inequalities for complex polynomials in the $L_0$-metric
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2008
\issue 5
\pages 101--108
\mathnet{http://mi.mathnet.ru/ivm1283}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2445189}
\zmath{https://zbmath.org/?q=an:1158.41303}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2008
\vol 52
\issue 5
\pages 88--94
\crossref{https://doi.org/10.3103/S1066369X08050113}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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