Approximative Properties of the Threeharmonic Poisson Integrals on the Holder Classes

摘要

A solution of the Kolmogorov-Nikolsky problem for the threeharmonic Poisson integrals on the Holder classes H~α for (A)α∈(0,1) in uniform metricis found. New task formulations of the approximation problem, as an auxiliary problem of decision making, allow one to obtain more adequate knowledge about the development of the situation, for the description of which this mathematical model was used. The proposed approach will allow building real models of the functioning of various systems (economic, ecological, social) in the conditions of limited and incomplete information, and consequently, make effective decisions based on available statistical information.