Error bounds for tikhonov regularization in hilbert scales
- 1 September 1984
- journal article
- research article
- Published by Taylor & Francis in Applicable Analysis
- Vol. 18 (1-2) , 29-37
- https://doi.org/10.1080/00036818408839508
Abstract
For an ill-posed problem Af = g we consider Tikhonov reguiariration: Minimize where is the norm in a Hilbert scale (Hs). Assuming that the norm is equivalent to the norm for some a > O and f ε Hq for some q > O , we show that the accuracy of Tikhonov regularization is asymptotically best possible, provided that ω is chosen optimally and p ≥ (q - a)/2.Keywords
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