%0 Journal Article
%A Zhyhallo , Tatyana V.
%D 2018
%I Begell House
%K approximation properties, Poisson–Chebyshev integrals, classes of the Lipschitz functions, segment of the real axis, asymptotic estimates, upper limit of the function deviation
%N 5
%P 34-48
%R 10.1615/JAutomatInfScien.v50.i5.40
%T Approximation of Functions Holding the Lipschitz Conditions on a Finite Segment of the Real Axis by the Poisson–Chebyshev Integrals
%U http://dl.begellhouse.com/journals/2b6239406278e43e,07e06eda66705428,5aea64aa13889b4b.html
%V 50
%X Approximation properties of the Poisson–Chebyshev integrals are studied on the classes of the Lipschitz functions, given on a segment of the real axis. Solutions of the mentioned problem are used in the problems of the theory of conservation, retrieval, and transmission of information (global searching systems in the Internet), in the theory of prediction and decision-making, conflict-controlled processes, etc. Asymptotic estimates of the upper limits of the functions deviation holding the Lipschitz condition on a finite segment of the real axis are obtained by the Poisson–Chebyshev integrals.
%8 2018-08-31