Inequalities for the Derivatives of Rational Functions with Real Zeros

被引：0

作者：

G. Min

机构：

[1] Simon Fraser University,Centre for Experimental & Constructive Mathematics Department of Mathematics and Statistics

来源：

Acta Mathematica Hungarica | 1999年 / 82卷

关键词：

Rational Function; Rational System; Real Zero; Classical Polynomial; Prescribe Pole;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study Turán-type inequalities for the derivatives of rational functions, whose zeros are all real and lie inside [-1,1] but whose poles are outside (-1,1), in the supremum- and L2-norms respectively. We generalize several well-known results for classical polynomials. We also obtain a sharp L2 Bernstein-type inequality for the rational system with prescribed poles.

引用

页码：11 / 20

页数：9

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