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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.NA2023
New results for variational regularization with oversmoothing penalty term in Banach spaces
Bernd Hofmann, Chantal Klinkhammer, Robert Plato
In this article on variational regularization for ill-posed nonlinear problems, we are once again discussing the consequences of an oversmoothing penalty term. This means in our mo…
math.NA2023
A note on the degree of ill-posedness for mixed differentiation on the d-dimensional unit cube
Bernd Hofmann, Hans-Jürgen Fischer, Robert Plato
Numerical differentiation of a function, contaminated with noise, over the unit interval by inverting the simple integration operator $J:L^2([0,1]) \to L…