Optimal Recovery of a Family of Operators from Inaccurate Measurements on a Compact Set

Given a one-parameter family of continuous linear operators , with , we consider the optimal recovery of the values of on the whole space by approximate information on the values of , where runs over a compact set and . We find a family of optimal methods for recovering the values of . Each of these...

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Bibliographic Details
Published in:	Siberian mathematical journal Vol. 65; no. 2; pp. 495 - 504
Main Author:	Sivkova, E. O.
Format:	Journal Article
Language:	English
Published:	Moscow Pleiades Publishing 01.03.2024 Springer Nature B.V
Subjects:	Accuracy Constraints Dirichlet problem Fourier transforms Half spaces Hyperplanes Inequality Linear operators Linear programming Mathematics Mathematics and Statistics Methods Operators (mathematics) Recovery Thermodynamics Upper bounds Vector spaces heat equation optimal method 517.9 extremal problem Fourier transform Dirichlet problem optimal recovery
ISSN:	0037-4466, 1573-9260
Online Access:	Get full text
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