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A Way of Constructing Spherical Approximation Operators
构造球面逼近算子的一种方法

Keywords: Spherical harmonics,Bochner-Riesz means,generalized translation operators,approximation
球调和多项式
,Bochner-Riesz平均,广义平移,逼近.,公式构造,球面,逼近算子,方法,APPROXIMATION,OPERATORS,SPHERICAL,上界估计,泛函,平移算子,积分,Gauss,球调和多项式,分析

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Abstract:

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.

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