On Optimal Recovery of Integrals of Set-Valued Functions

2014/03/04 by В. Ф. Бабенко, Babenko, V. F., Vira Babenko +3 · 1 citation
Mathematics · #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Mathematical Approximation and Integration

paper · pdf · doi:10.48550/arxiv.1403.0840

openalex publication_date 2014/03/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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