Optimal Recovery of Periodic Functions from Fourier Coefficients Given with an Error |
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| Affiliation: | Department of Mathematics, Moscow State University of Aviation Technology, Moscow, Russia, 103767 |
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| Abstract: | We construct optimal methods of recovery of 2π-periodic functions analytic in a strip and its derivatives at a pointt∈ [0, 2π), using information about the Fourier coefficients given with an error in the uniform norm. The same problem is solved for the Sobolev spaceWr2. |
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