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An application of Chebyshev-Markov-Krein algorithm to numerical solving of the control problem of processes, described by Smoluchovski kinetic equation

The control problem of processes, described by Smoluchovski kinetic equations, is considered. For its numerical solution we suggest a modification of Chebyshev-Markov-Krein algorithm for calculation of precise upper and lower estimations of integral from non-negative measure, having a finite number of given power moments. This modification allows calculating first derivatives of precise upper and lower estimation by the values of power moments. This talk is based on the joint work with Z.S.Gaeva.

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