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- Title
On variational regularization: Finite dimension and Hölder stability.
- Authors
Mittal, Gaurav; Giri, Ankik Kumar
- Abstract
In this paper, we analyze the convergence rates for finite-dimensional variational regularization in Banach spaces by taking into account the noisy data and operator approximations. In particular, we determine the convergence rates by incorporating the smoothness concepts of Hölder stability estimates and the variational inequalities. Additionally, we discuss two ill-posed inverse problems to complement the abstract theory presented in our main results.
- Subjects
BANACH spaces; INVERSE problems; FINITE, The; VARIATIONAL approach (Mathematics); INVERSE scattering transform; DIMENSIONS
- Publication
Journal of Inverse & Ill-Posed Problems, 2021, Vol 29, Issue 2, p283
- ISSN
0928-0219
- Publication type
Article
- DOI
10.1515/jiip-2020-0044