Skip navigation
Skip navigation

Errors of regularisation under range inclusions using variable Hilbert scales

Hegland, Markus; Hofmann, Bernd


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
Source: Inverse Problems and Imaging
DOI: 10.3934/ipi.2011.5.619


File Description SizeFormat Image
01_Hegland_Errors_of_regularisation_under_2011.pdf499.86 kBAdobe PDF    Request a copy

Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  19 May 2020/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator