Acta mathematica scientia,Series A ›› 2005, Vol. 25 ›› Issue (2): 269-276.

• Articles • Previous Articles     Next Articles

On Approximation by a Kind of Spherical Zonal Translation Network Operators

 |ZHOU Guan-Zhen, CHENG Bao-Huai   

  • Online:2005-04-25 Published:2005-04-25
  • Supported by:

    国家自然科学基金(10471130)、浙江省自然科学基金(Y604003)、浙江省教育厅项目(20030431),宁波市青年基金(2004A620017)资助

Abstract:

A kind of spherical zonal translation network operators i s constructed with the aid of de la Vallée Poussin means on the unit sphere S^q and its degree of approximation in L^p(S^q) space is obtained.

Key words: Spherical harmonic polynomial, Translation network oper ator, Approximation.  

CLC Number: 

  • 41A20
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