AN EXTREMAL PROBLEM CONCERNING A MARKOV-TYPE INEQUALITY

被引：0
作者：
DORFLER, P
机构：
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1991年 / 22卷 / 03期
关键词：
MARKOV INEQUALITY; L2; NORM; LAGUERRE WEIGHT;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For any polynomial f with complex coefficients let parallel-to f parallel-to be the norm in L2[0, infinity) with the Laguerre weight function w(t) = e(-t). Let P(n) be the set of all complex polynomials whose degree does not exceed n and gamma-n := sup f member-of P(n) (parallel-to f' parallel-to/parallel-to f parallel). We show that gamma-n/n --> 2/pi as n --> infinity.
引用
收藏
页码：792 / 795
页数：4
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