On general Bernstein and Nikol'skiI type inequalities

被引：0
|
作者：
Cao Fei-long [1 ]
Lin Shao-bo [1 ]
Zhang Bao-lin [1 ]
机构：
[1] China Jiliang Univ, Dept Math, Hangzhou 310018, Peoples R China
来源：
APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B | 2010年 / 25卷 / 01期
基金：
美国国家科学基金会;
关键词：
Bernstein inequality; Nikol'skii inequality; Markov inequality; MUNTZ POLYNOMIALS; MARKOV; ZEROS;
D O I：
10.1007/s11766-010-2114-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The goal of this paper is to establish the relations between general Bernstein and Nikol'skiI type inequalities under some weak conditions. From these relations some known classical inequalities are implied. Also, a family of functions equipped with Bernstein type inequality which satisfies Nikol'skiI type inequality is found.
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页码：35 / 42
页数：8
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