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系统科学与数学 2008
A Way of Constructing Spherical Approximation Operators
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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.