A Way of Constructing Spherical Approximation Operators

SHENG Baohuai;ZHOU Guanzhen

Journal of Systems Science and Mathematical Sciences ›› 2008, Vol. 28 ›› Issue (4) : 456-467.

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中国科学院数学与系统科学研究院期刊网
PDF(366 KB)
Journal of Systems Science and Mathematical Sciences ›› 2008, Vol. 28 ›› Issue (4) : 456-467. DOI: 10.12341/jssms10097
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A Way of Constructing Spherical Approximation Operators

  • SHENG Baohuai(1),ZHOU Guanzhen(2)
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Abstract

Two sequences of spherical translation operators are constructed respectively with the help of the classical Bochner-Riesz means, the Cesa`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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Spherical harmonics / Bochner-Riesz means / generalized translation operators / approximation.

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SHENG Baohuai , ZHOU Guanzhen. A Way of Constructing Spherical Approximation Operators. Journal of Systems Science and Mathematical Sciences, 2008, 28(4): 456-467 https://doi.org/10.12341/jssms10097
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