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Errors of regularisation under range inclusions using variable Hilbert scales

Hegland, Markus; Hofmann, Bernd

Description

Based on the variable Hilbert scale interpolation inequality, bounds for the error of regularisation methods are derived under range inclusions. In this context, new formulae for the modulus of continuity of the inverse of bounded operators with non-closed range are given. Even if one can show the equivalence of this approach to the version used previously in the literature, the new formulae and corresponding conditions are simpler than the former ones. Several examples from image processing...[Show more]

CollectionsANU Research Publications
Date published: 2011
Type: Journal article
URI: http://hdl.handle.net/1885/19247
Source: Inverse Problems and Imaging
DOI: 10.3934/ipi.2011.5.619

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