| L2-Optimal Recovery on the Riesz Potential Spaces |
| Received:July 21, 1997 Revised:July 21, 1999 |
| Key Words:
Riesz potential multivariate function optimal recovery.
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| 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. |
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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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