Optimal recovery of elements from Hilbert space and their scalar products by Fourier coefficients known with error

UDC 517.5 In a Hilbert space defined as the image of the unit ball under the action of a compact operator, we solve problems of optimal recovery of elements by their first $n$ Fourier coefficients given approximately.  Similar problems are also solved for scalar products of...

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Bibliographic Details
Date:2020
Main Authors: Gunko, M. S., Babenko, V. F., Parfinovych, N. V., Гунько, М. С., Бабенко, В. Ф., Парфинович, Н. В., Парфінович, Н. В.
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2020
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/1107
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal