"An error estimate of a regularizing algorithm based of the generalized
residual principle when solving integral equations" Tanana V.P. and Sidikova A.I. 
A regularizing algorithm for the approximate solution of integral equations of the first kind is studied. This algorithm involves a finitedimensional approximation of the original problem. An error estimate is proposed. In order to obtain this estimate, the equivalence of the generalized residual method and the generalized residual principle is proved. This result can be used to estimate the finitedimensional approximations of regularized solutions. Keywords: regularization, generalized residual method, modulus of continuity, error estimates, illposed problems, integral equations, operator equations, finitedimensional approximations.

