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04/29/2023
New results for variational regularization with oversmoothing penalty term in Banach spaces
In this article on variational regularization for ill-posed nonlinear pr...
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03/25/2023
A note on the degree of ill-posedness for mixed differentiation on the d-dimensional unit cube
Numerical differentiation of a function, contaminated with noise, over t...
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12/13/2022
On uniqueness and ill-posedness for the deautoconvolution problem in the multi-dimensional case
This paper analyzes the inverse problem of deautoconvolution in the mult...
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10/25/2022
Deautoconvolution in the two-dimensional case
There is extensive mathematical literature on the inverse problem of dea...
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06/08/2022
Open questions asked to analysis and numerics concerning the Hausdorff moment problem
We address facts and open questions concerning the degree of ill-posedne...
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06/04/2022
Variational regularization with oversmoothing penalty term in Banach spaces
In the present work, we discuss variational regularization for ill-posed...
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11/01/2021
The degree of ill-posedness of composite linear ill-posed problems with focus on the impact of the non-compact Hausdorff moment operator
We consider compact composite linear operators in Hilbert space, where t...
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04/13/2021
The Hausdorff Moment Problem in the light of ill-posedness of type I
The Hausdorf moment problem (HMP) over the unit interval in an L^2-setti...
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12/21/2020
Nonlinear Tikhonov regularization in Hilbert scales with oversmoothing penalty: inspecting balancing principles
The analysis of Tikhonov regularization for nonlinear ill-posed equation...
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02/11/2020
Two new non-negativity preserving iterative regularization methods for ill-posed inverse problems
Many inverse problems are concerned with the estimation of non-negative ...
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11/02/2019
Convergence results and low order rates for nonlinear Tikhonov regularization with oversmoothing penalty term
For the Tikhonov regularization of ill-posed nonlinear operator equation...
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08/16/2019
