"Convex Tikhonov regularization in Banach spaces: new results on convergence rates"
, in Journal of Inverse and Ill-Posed problems, DeGruyter, 2015
Convex Tikhonov regularization in Banach spaces: new results on convergence rates
Sprache des Titels:
Tikhonov regularization in Banach spaces with convex penalty and convex fidelity term for linear ill-posed operator equation is studied. As a main result, convergence rates in terms F 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 terms of the residual.