Tur\'an-type inequalities for complex polynomials in the $L_0$-metric
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2008), pp. 101-108
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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.
@article{IVM_2008_5_a11,
author = {\`E. A. Storozhenko},
title = {Tur\'an-type inequalities for complex polynomials in the $L_0$-metric},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {101--108},
publisher = {mathdoc},
number = {5},
year = {2008},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2008_5_a11/}
}
È. A. Storozhenko. Tur\'an-type inequalities for complex polynomials in the $L_0$-metric. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2008), pp. 101-108. http://geodesic.mathdoc.fr/item/IVM_2008_5_a11/