ОПТИМІЗАЦІЙНІ ХАРАКТЕРИСТИКИ ОΠΕΡΑΤΟΡΑ З ДЕЛЬТАПОДІБНИМ ЯДРОМ ДЛЯ КВАЗІГЛАДКИХ ФУНКЦІЙ.

Autor: ШУТОВСЬКИЙ, А. М., ПРИТ, В. В.
Předmět:
Zdroj: Cybernetics & Systems Analysis / Kibernetiki i Sistemnyj Analiz; 2024, Issue 5, p125-132, 8p
Abstrakt: The paper presents research results combining the methods of approximation theory and optimal decision theory. Namely, the optimization problem for the biharmonic Poisson integral in the upper half-plane is considered as one of the most optimal solutions to the biharmonic equation in Cartesian coordinates. The approximate properties of the biharmonic Poisson operator in the upper half-plane on the classes of quasi-smooth functions are obtained in the form of an exact equality for the deviation of quasi-smooth functions from the positive operator under consideration. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index