On the best constants in Markov-type inequalities involving Laguerre norms with different weights

被引：0

作者：

Albrecht Böttcher

Peter Dörfler

机构：

[1] TU Chemnitz,Fakultät für Mathematik

[2] Montanuniversität Leoben,Department Mathematik und Informationstechnologie

来源：

Monatshefte für Mathematik | 2010年 / 161卷

关键词：

Markov inequality; Laguerre polynomial; Toeplitz matrix; Volterra operator; Primary 41A44; Secondary 15A18; 26D10; 45D05; 47B35;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The paper concerns best constants in Markov-type inequalities between the norm of a higher derivative of a polynomial and the norm of the polynomial itself. The norm of the polynomial is taken in L2 on the half-line with the weight tαe−t and the derivative is measured in L2 on the half-line with the weight tβe−t. Under an additional assumption on the difference β − α, we determine the leading term of the asymptotics of the constants as the degree of the polynomial goes to infinity.

引用

页码：357 / 367

页数：10

共 15 条

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