Journal of Inverse and Ill-posed Problems
Editor-in-Chief: Kabanikhin, Sergey I.
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Modulus of continuity and conditional stability for linear regularization schemes
1Department of Mathematics, Chemnitz University of Technology, D-09107 Chemnitz, Germany. Email: (email)
Citation Information: Journal of Inverse and Ill-posed Problems. Volume 17, Issue 1, Pages 85–89, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: 10.1515/JIIP.2009.010, February 2009
- Published Online:
This paper surveys the concept of conditional stability for linear ill-posed problems with error estimates based on the modulus of continuity. Combining the ideas of [Hofmann, Mathé, Schieck, J. Inv. Ill-Posed Problems 16: 569–587, 2008] and [Kabanikhin, Schieck, J. Inv. Ill-Posed Problems 16: 267–282, 2008] fundamental properties are formulated and convergence rates results for regularized solutions concerning linear regularization schemes are carried out.
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