Markov-Bernstein-type inequalities for classes of polynomials with restricted zeros期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Markov-Bernstein-type inequalities for classes of polynomials with restricted zeros

Authors:

Institution:

1. Department of Mathematics and Statistics, Simon Fraser University, V5A 1S6, Burnaby, British Columbia, Canada
2. Department of Mathematics and Statistics, Simon Fraser University, V5A 1S6, Burnaby, British Columbia, Canada

Abstract:

We prove that an absolute constantc>0 exists such that

$\|p'(y)\| \leqslant c\min \left\{ {n(k + 1),\left( {\frac{{n(k + 1)}}{{1 - y^2 }}} \right)^{1/2} } \right\}\mathop {\max }\limits_{ - 1 \leqslant x \leqslant 1} \|p(x)\|, - 1 \leqslant y \leqslant 1,$

Keywords:	AMS classification" target="_blank">AMS classification 41A17
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