Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4638935 | Journal of Computational and Applied Mathematics | 2014 | 10 Pages |
Abstract
In this paper, we study the regularizing properties of the conditional stability estimates in ill-posed problems. First, we analyze how conditional stability estimates occur, and which properties the corresponding index functions must obey. In addition, we adapt the convergence analysis for the Tikhonov regularization in Banach spaces where the difference between the approximated solution and the exact one in metric measure is taken into account. We conclude this study with a comparison of stability estimates and variational inequalities, another emerging tool in Banach space regularization.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jin Cheng, Bernd Hofmann, Shuai Lu,