About the sharp Jackson-Nikol'skii inequality for algebraic polynomials on a multidimensional Euclidean sphere

被引：0

作者：

Deikalova, M. V. ^{[1
]}

机构：

[1] Ural State Univ, Ekaterinburg, Russia

来源：

TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN | 2009年 / 15卷 / 01期

关键词：

multidimensional Euclidean sphere; algebraic polynomials; Jackson-Nikol'skii inequality;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The best constant C-n,C- (m) in the Jackson-Nikol'skii inequality between uniform and integral norms of algebraic polynomials of given total degree n >= 0 on the unit sphere Sm-1 of the Euclidean space R-m is studied. Two sided estimates for the constant Cn, m are obtained, which, in particular, give the order n(m-1) of its behavior with respect to n as n -> + infinity for a fixed m.

引用

页码：122 / 134

页数：13