4 citations · 4 across the 3 of their papers we have counts for
3 papers
The Hausdorff Moment Problem in the light of ill-posedness of type I
Daniel Gerth, Bernd Hofmann, Christopher Hofmann +1
The Hausdorf moment problem (HMP) over the unit interval in an -setting is a classical example of an ill-posed inverse problem. Since various applications can be rewritten in…
Nonlinear Tikhonov regularization in Hilbert scales with oversmoothing penalty: inspecting balancing principles
Bernd Hofmann, Christopher Hofmann, Peter Mathé +1
The analysis of Tikhonov regularization for nonlinear ill-posed equations with smoothness promoting penalties is an important topic in inverse problem theory. With focus on Hilbert…
Case studies and a pitfall for nonlinear variational regularization under conditional stability
Daniel Gerth, Bernd Hofmann, Christopher Hofmann
Conditional stability estimates are a popular tool for the regularization of ill-posed problems. A drawback in particular under nonlinear operators is that additional regularizatio…