L2-Optimal Recovery on the Riesz Potential Spaces
Received:July 21, 1997  Revised:July 21, 1999
Key Words: Riesz potential   multivariate function   optimal recovery.  
Fund Project:Supported by the National Natural Science Foundation of China (19671012) and by the Doctoral Programme Foundation of Institution of Higher Education of Country Education Committee of China.
Author NameAffiliation
LIU Yong-ping Dept. of Math.
Beijing Normal University
Beijing
China 
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Abstract:
      The problems of best reconstruction of multivariate functions of the Riesz potential spaces from their values on a given mesh are considered, and the exact results of some classes of L2(Rn) (and L2(Qn)) defined by the Riesz potential are obtained.
Citation:
DOI:10.3770/j.issn:1000-341X.2000.03.008
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