Convergence analysis of a regularized approximation for solving Fredholm integral equations of the first kind (Q1874613)

The author discusses the convergence of numerical solutions of Fredholm integral equations of the first kind using Tikhonov regularization under surpremum norm. He considers the approximate equations \[ (A_n + \alpha I) \widetilde{x}_{\alpha, n}=F_n\widetilde{y} . \] and carries out the convergence analysis in the \(L^2\) norm . An a priori parameter choice strategy for choosing the regularization parameters and the error estimate are provided. The author also extends this work under a supremum norm setting.