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On Turán type inequality with doubling weights and A* weights
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YU Dan-sheng, WEI Bao-rong. On Turán type inequality with doubling weights and A* weights[J]. Journal of Zhejiang University Science A, 2005, 6(7): 764-768.
@article{title="On Turán type inequality with doubling weights and A* weights",
author="YU Dan-sheng, WEI Bao-rong",
journal="Journal of Zhejiang University Science A",
volume="6",
number="7",
pages="764-768",
year="2005",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2005.A0764"
}
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%A WEI Bao-rong
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%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2005.A0764
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T1 - On Turán type inequality with doubling weights and A* weights
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A1 - WEI Bao-rong
J0 - Journal of Zhejiang University Science A
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%@ 1673-565X
Y1 - 2005
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2005.A0764
Abstract: Let Hn be the set of real algebraic polynomials of degree n, whose zeros all lie in the interval [-1,1]. The well known turá;n type inequalities tell us that for f(x)∈Hn, it holds ‖f′‖≥C√n‖f‖. This note deals with the weighted turá;n type inequalities with the weights having inner singularities under Lp norm for 0<p≤∞. Our results essentially extend the result of Wang and Zhou (2002), and the method used in this paper is simpler and more direct than that of Wang and Zhou (2002). The results and methods have their own values in approximation theory and computation.
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