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math.NA2022★ 1 cited
Analysis of the discrepancy principle for Tikhonov regularization under low order source conditions
Chantal Klinkhammer, Robert Plato
We study the application of Tikhonov regularization to ill-posed nonlinear operator equations. The objective of this work is to prove low order convergence rates for the discrepanc…
math.NA2022★ 1 cited
Variational regularization with oversmoothing penalty term in Banach spaces
Robert Plato, Bernd Hofmann
In the present work, we discuss variational regularization for ill-posed nonlinear problems with focus on an oversmoothing penalty term. This means in our model that the searched-f…