THE IMPACT OF A CURIOUS TYPE OF SMOOTHNESS CONDITIONS ON CONVERGENCE RATES IN l^1 -REGULARIZATION
THE IMPACT OF A CURIOUS TYPE OF SMOOTHNESS CONDITIONS ON CONVERGENCE RATES IN l^1 -REGULARIZATION
Tikhonov-type regularization of linear and nonlinear ill-posed problems in abstract spaces under sparsity constraints gained relevant attention in the past years. Since under some weak assumptions all regularized solutions are sparse if the ‘ 1 -norm is used as penalty term, the ‘ 1 -regularization was studied by numerous authors …