arXiv subjects

M. V. Polischuk

Publications and source records attributed to M. V. Polischuk.

2 recordsLinked to original sources

arXiv2015

Approximation of some classes of set-valued periodic functions by generalized trigonometric polynomials

Generalizations of some known results on the best, best linear and best one-sided approxima- tions by trigonometric polynomials of the classes of 2π- periodic functions presented in the form of convolutions to the case of set-valued functions are obtained

math.FA↗

arXiv2014

On Optimal Recovery of Integrals of Set-Valued Functions

In this paper we consider the problem of optimization of approximate integration of set-valued functions from the class defined by given majorant of their moduli of continuity, using values of the functions at $n$ fixed or free points of their domain. We consider the cases of exact information and information with error.

math.FA↗