Remez-, Nikolskii-, and Markov-type inequalities for generalized nonnegative 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

Remez-, Nikolskii-, and Markov-type inequalities for generalized nonnegative polynomials with restricted zeros

Authors:

Affiliation:

1. Department of Mathematics, Statistics, and Computing Science, Dalhousie University, B3H 3J5, Halifax, Nova Scotia, Canada
2. Department of Mathematics, The Ohio State University, 231 West 18th Avenue, 43210, Columbus, Ohio, USA

Abstract:

Sharp Remez-, Nikolskii-, and Markov-type inequalities are proved for functions of the form

$f(z) = left\| omega right\|prodlimits_{j = 1}^m {left\| {z - z_j } right\|^{r_j } } left( {omega ,z_j in C;0< r_j in R;j = 1,2, ldots m} right)$

Keywords:	KeywordHeading" >AMS classification 41A17
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