On Optimal Recovery of Integrals of Set-Valued Functions
Functional Analysis
2014-03-05 v1
Abstract
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 fixed or free points of their domain. We consider the cases of exact information and information with error.
Keywords
Cite
@article{arxiv.1403.0840,
title = {On Optimal Recovery of Integrals of Set-Valued Functions},
author = {V. F. Babenko and V. V. Babenko and M. V. Polischuk},
journal= {arXiv preprint arXiv:1403.0840},
year = {2014}
}