Convex Tikhonov regularization in Banach spaces: New results on convergence rates
2016 ◽
Vol 24
(3)
◽
Keyword(s):
AbstractTikhonov regularization in Banach spaces with convex penalty and convex fidelity term for linear ill-posed operator equations is studied. As a main result, convergence rates in terms of the Bregman distance of the regularized solution to the exact solution is proven by imposing a generalization of the established variational inequality conditions on the exact solution. This condition only involves a decay rate of the difference of the penalty functionals in terms of the residual.
2010 ◽
Vol 22
(3)
◽
pp. 369-392
◽
2008 ◽
Vol 8
(1)
◽
pp. 86-98
◽
2011 ◽
Vol 2011
◽
pp. 1-14
◽
2018 ◽
Vol 1
(T5)
◽
pp. 193-202
2015 ◽
Vol 35
(6)
◽
pp. 1318-1324
◽
Keyword(s):
1998 ◽
Vol 41
(3)
◽
pp. 252-259
◽