Optimal recovery of the Sobolev-Wiener class of smooth functions by double sampling |
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| Authors: | Yongsheng Sun Yongping Liu |
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| Institution: | 1. Department of Mathematics, Beijing Normal University, 100875, Beijing, The People's Republic of China
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| Abstract: | An optimal interpolation problem is considered on the Sobolev-Wiener class of smooth functions defined on the real line by double samples. We calculate the exact value of the minimal intrinsic error, identify an optimal set of sampling points and constructing an optimal linear estimator (algorithm). |
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