Source Conditions for Non-Quadratic Tikhonov Regularization
Peer reviewed, Journal article
Published version
Åpne
Permanent lenke
https://hdl.handle.net/11250/2730362Utgivelsesdato
2020Metadata
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- Institutt for matematiske fag [2527]
- Publikasjoner fra CRIStin - NTNU [38679]
Originalversjon
10.1080/01630563.2020.1772289Sammendrag
In this paper, we consider convex Tikhonov regularization for the solution of linear operator equations on Hilbert spaces. We show that standard fractional source conditions can be employed in order to derive convergence rates in terms of the Bregman distance, assuming some stronger convexity properties of either the regularization term or its convex conjugate. In the special case of quadratic regularization, we are able to reproduce the whole range of Hölder type convergence rates known from classical theory.