On the Recovery of Continuous Functions from Noisy Fourier Coefficients

Sharipov, Kosnazar
January 2011
Computational Methods in Applied Mathematics;2011, Vol. 11 Issue 1, p75
Academic Journal
We consider the classical ill-posed problem of the recovery of continuous functions from noisy Fourier coefficients. For the classes of functions given in terms of generalized smoothness, we present a priori and a posteriori regularization parameter choice realizing an order-optimal error bound.


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