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arXiv · 1403.0840

On Optimal Recovery of Integrals of Set-Valued Functions

V. F. Babenko·V. V. Babenko·M. V. Polischuk
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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 $n$ fixed or free points of their domain. We consider the cases of exact information and information with error.

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V. F. Babenko, V. V. Babenko, M. V. Polischuk. 2014-03-04. On Optimal Recovery of Integrals of Set-Valued Functions. https://arxiv.org/abs/1403.0840

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