A parameter choice strategy for the regularized approximation of Fredholm integral equations of the first kind

Recently, Rajan [A Modified convergence analyis for solving Fredholm integral equations of the first kind, Integral Equ. Oper. Theory, 49 (2004), pp. 511–516.] suggested a modified convergence analysis for solving Fredholm integral equations of the first kind and also considered an a priori parameter choice strategy of choosing the regularization parameter. In this article, as an a posteriori parameter choice strategy for choosing the regularization parameter, a class of discrepancy principle is proposed under the Hilbert space setting and is illustrated numerically.