Gorokhova O. Approximate characteristics of weak solutions of operator equations by discrete information.

The thesis is devoted to the issues related to the informational approach to problems of approximation outlined M.P.Korneichuk early 90-ies and can be interpreted as the problems of approximate recovery of some mathematical objects by incomplete discrete information. Set approximate characteristics of weak solutions of Fredholm integral equation of first kind in the presence of a priori information about its kernel and right side in view of discrete information provided in the form of a finite set of continuous linear functionals in the functional spaces with the standard norms (metrics). For finding approximate characteristics of weak solutions of integral equation were used splines and algebraic polynomials coordinated with the smoothness of its right side and kernel.