Geometry of linear ill-posed problems in variable Hilbert scales Inverse Problems 19 789-803

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On the second-order asymptotical regularization of linear ill-posed inverse problems (2018, unknown): “Expressing the qualification by means of index functions ψ , the traditional concept of qualifications with monomials ψ(λ) = λ for κ > 0 from [5] (see also [2]) has been extended in [19,20] to general index functions ψ .”
Approximate source conditions in Tikhonov–Phillips regularization and consequences for inverse problems with multiplication operators (2006, methodology): “In this context, the generator functions φ(t) (0 < t ≤ t) with t ≥ ‖A‖(2) are assumed to be index functions as used in [29], where we call such function φ index function if it is positive, continuous and strictly increasing with lim t→0 φ(t) = 0.”
On regularization algorithms in learning theory (2007, methodology): “Following what is done in inverse problems in this paper we wish to extend the class of possible probability measures M(Ω) considering general source condition (see Mathé and Pereverzev (2003) and references therein).”