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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…