Generalized sourcewisity and the rate of convergence of the regularized solutions

For a problem of computation of values of the unbounded operator on the solutions of initial operator equation under nonlinear restrictions the estimates of rate of convergence of the regularized solutions to $(L,g)$-minimum solution are established at fulfillment of conditions like sourcewisity and smoothness. Sufficient conditions of strengthened convergence of the regularized solutions are given only at weak approximation of the right part of the initial equation.