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• W2016131152 abstract "We prove that an absolute constantc>0 exists such that $$|p'(y)| leqslant cmin left{ {n(k + 1),left( {frac{{n(k + 1)}}{{1 - y^2 }}} right)^{1/2} } right}mathop {max }limits_{ - 1 leqslant x leqslant 1} |p(x)|, - 1 leqslant y leqslant 1,$$ for every real algebraic polynomial of degree at mostn having at mostk zeros in the open unit disk {z∈C:|z|<1}. This inequality, which has been conjectured for at least a decade, improves and generalizes several earlier results. Up to the multiplicative absolute constantc, it is a sharp generalization of both Markov's and Bernstein's inequalities." @default.
• W2016131152 created "2016-06-24" @default.
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• W2016131152 creator A5029261392 @default.
• W2016131152 date "1994-09-01" @default.
• W2016131152 modified "2023-09-27" @default.
• W2016131152 title "Markov-Bernstein-type inequalities for classes of polynomials with restricted zeros" @default.
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• W2016131152 doi "https://doi.org/10.1007/bf01212567" @default.
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