Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (3): 677-684.

• Articles • Previous Articles     Next Articles

The |Error |Estimates of |Approximation by Interpolatory Zonal Translation Networks on the Unit Sphere

  

  1. (Department of Mathematics, Shaoxing College of Arts and Sciences,  Zhejiang Shaoxing 312000)
  • Received:2007-08-18 Revised:2009-04-17 Online:2009-06-25 Published:2009-06-25
  • Supported by:

    国家自然科学基金(10871226, 60873206)和浙江省自然科学基金(Y7080235)资助

Abstract:

The spherical zonal translation networks with the property of interpolation are constructed. Furthermore, in the uniform norm, the upper bound of approximation is given for continuous functions.

 

Key words: Spherical harmonic polynomial, Interpolation, Best approximation, Translation networks

CLC Number: 

  • 41A20
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