ОПТИМІЗАЦІЯ ПАРАМЕТРІВ В УЗАГАЛЬНЕННІЙ ФОРМУЛІ ДАЛАМБЕРА ДЛЯ ФУНКЦІЇ ДВОХ ЗМІНИХ

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 [1-4]. 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 β₀, β₁,...,βₙ is used. This work overview method [5] of optimal selection of these parameters and shows several theorems about classes of functions that are precisely reconstructed by the generalized D ’Alembert operator.