Abstract
In this article we study the application of the Radon transform, as one of the types of numerical information in discretization problems of functions from the Sobolev classes. The main distinction of the scientific statement is the use information of a new type, we state the problem to find out the characteristics of the solution of the reconstructing problem using the Radon transform in the context of the Computational (Numerical) diameter. Subsequent computational implementation has a very wide scope in science, and thus, on the scale of Kazakhstan, proposes further research on promising subjects, which implements a new direction at the international level.