%0 Journal Article
%T A Way of Constructing Spherical Approximation Operators
构造球面逼近算子的一种方法
%A SHENG Baohuai
%A ZHOU Guanzhen
%A
盛宝怀
%A 周观珍
%J 系统科学与数学
%D 2008
%I
%X Two sequences of spherical translation operators are constructed respectively with the help of the classical Bochner-Riesz means, the Ces${\rm \grave{a}}$ro means, and the Gauss integration formula related with the spherical harmonics, and the upper bounds of the approximation are given respectively with the $K$-functional.
%K Spherical harmonics
%K Bochner-Riesz means
%K generalized translation operators
%K approximation
球调和多项式
%K Bochner-Riesz平均
%K 广义平移
%K 逼近.
%K 公式构造
%K 球面
%K 逼近算子
%K 方法
%K APPROXIMATION
%K OPERATORS
%K SPHERICAL
%K 上界估计
%K 泛函
%K 平移算子
%K 积分
%K Gauss
%K 球调和多项式
%K 分析
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=61014184EF586AA49CA3A015AD2455EF&yid=67289AFF6305E306&vid=D3E34374A0D77D7F&iid=E158A972A605785F&sid=522844664D9E629A&eid=98494933359B55EC&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=12