On the Optimal Recovery of Integrals of Set-Valued Functions

We consider the problem of optimization of the approximate integration of set-valued functions from the class specified by a given majorant of their moduli of continuity performed by using the values of these functions at n fixed or free points of their domain.

Saved in:

Bibliographic Details
Published in:	Ukrainian mathematical journal Vol. 67; no. 9; pp. 1306 - 1315
Main Authors:	Babenko, V. F., Babenko, V. V., Polishchuk, M. V.
Format:	Journal Article
Language:	English
Published:	New York Springer US 01-02-2016 Springer
Subjects:	Algebra Analysis Applications of Mathematics Geometry Mathematics Mathematics and Statistics Statistics Optimal Error Approximate Evaluation Cubature Formula Quadrature Formula Integral Geometry
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	We consider the problem of optimization of the approximate integration of set-valued functions from the class specified by a given majorant of their moduli of continuity performed by using the values of these functions at n fixed or free points of their domain.
ISSN:	0041-5995 1573-9376
DOI:	10.1007/s11253-016-1154-0