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math.NA2025
Sparse variational regularization with oversmoothing penalty term in the scale of sequence spaces
Robert Plato, Bernd Hofmann
In this work, we consider a class of linear ill-posed problems with operators that map from the sequence space () into a Banach space and in addition satisfy a…
math.NA2025
A class of regularization schemes for linear ill-posed problems in Banach spaces under low order source conditions
Robert Plato
In this work we consider, in a Banach space framework, the regularization of linear ill-posed problems. Our focus is on the recovery of solutions that have a logarithmic source rep…
math.NA2019
Convergence results and low order rates for nonlinear Tikhonov regularization with oversmoothing penalty term
Bernd Hofmann, Robert Plato
For the Tikhonov regularization of ill-posed nonlinear operator equations, convergence is studied in a Hilbert scale setting. We include the case of oversmoothing penalty terms, wh…