Оптимізація параметрів в узагальненній формулі Даламбера для функції двох зміних

Abstract

This work addresses issues of interpolation of functions of two variables, which are reconstructed using the generalized D’Alembert formula proposed by O.M. Lytvyn. The peculiarity of this formula is related to fact that it preserves the same class of differentiability to which the approximated function belongs. In construction of this operator, a system of parameters is used. This work overview method of optimal selection of these parameters and shows several theorems about classes of functions that are precisely reconstructed by the generalized D’Alembert operator.