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Optimal Recovery of Periodic Functions from Fourier Coefficients Given with an Error

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Abstract:

We construct optimal methods of recovery of 2pi-periodic functions analytic in a strip and its derivatives at a point t ∈ [0, 2pi), using information about the Fourier coefficients given with an error in the uniform norm. The same problem is solved for the Sobolev space W˜ r 2 .

Document Type: Research Article

Affiliations: Department of Mathematics, Moscow State University of Aviation Technology, Moscow, 103767, Russia

Publication date: March 1, 1996

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