Two polynomial division inequalities in LP

被引：1

作者：

Goetgheluck, P ^{[1
]}

机构：

[1] Univ Paris Sud, F-91405 Orsay, France

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 1998年 / 2卷 / 03期

关键词：

polynomial inequalities; schur inequality; explicit constants;

D O I：

10.1155/S1025583498000186

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is a first attempt to give numerical Values for constants C-p and C-p' in classical estimates //P// less than or equal to C(p)n//xP// and //P// less than or equal to C-p'n(2)//(1 - x)P// where P is an algebraic polynomial of degree at most n (n > 0) and //.// denotes the p-metric on [-1, 1]. The basic tools are Markov and Bernstein inequalities.

引用

页码：285 / 296

页数：12

共 6 条

[1]

BARI NK, 1954, IZV AKAD NAUK SSSR M, V18, P159

[2] BERNSTEIN INEQUALITY IN LP WEIGHT SPACES [J].