RT Journal Article ID 2662b1593d6bb00c A1 Hrabova , Ulyana Z. T1 Uniform Approximations of Functions of Lipschitz Class by Threeharmonic Poisson Integrals JF Journal of Automation and Information Sciences JO JAI(S) YR 2017 FD 2018-02-21 VO 49 IS 12 SP 57 OP 70 K1 methods of the theory of approximation K1 Kolmogorov–Nikolsky problem K1 asymptotic equalities K1 exact upper bounds K1 application in decision-making task AB It is proposed the use of methods of the theory of approximation of functions for the approximation of the statistical information. The Kolmogorov–Nikolsky problem is considered as a mathematical model for solving optimization problems. Asymptotic equalities are obtained for the exact upper bounds of the approximations by the threeharmonic Poisson integrals of functions of the Lipschitz class in the uniform metric. The possibility of applying the results of this work to forecasting, which in turn represents an auxiliary procedure in the decision-making task, is analyzed. PB Begell House LK https://www.dl.begellhouse.com/journals/2b6239406278e43e,3ec8bc8a1c813b66,2662b1593d6bb00c.html