28 citations · 59 across the 10 of their papers we have counts for
5 papers · 1 filter
A converse result for Banach space convergence rates in Tikhonov-type convex regularization of ill-posed linear equations
Jens Flemming
We consider Tikhonov-type variational regularization of ill-posed linear operator equations in Banach spaces with general convex penalty functionals. Upper bounds for certain error…
There always is a variational source condition for nonlinear problems in Banach spaces
Jens Flemming
Variational source conditions proved useful for deriving convergence rates for Tikhonov's regularization method and also for other methods. Up to now such conditions have been veri…
Convergence rates in -regularization when the basis is not smooth enough
Jens Flemming, Markus Hegland
Sparsity promoting regularization is an important technique for signal reconstruction and several other ill-posed problems. Theoretical investigation typically bases on the assumpt…
Convergence rates in -regularization if the sparsity assumption fails
Martin Burger, Jens Flemming, Bernd Hofmann
Variational sparsity regularization based on -norms and other nonlinear functionals has gained enormous attention recently, both with respect to its applications and its ma…
A new approach to source conditions in regularization with general residual term
Jens Geissler, Bernd Hofmann
This paper addresses Tikhonov like regularization methods with convex penalty functionals for solving nonlinear ill-posed operator equations formulated in Banach or, more general,…