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Sbornik: Mathematics, 2008, Volume 199, Issue 12, Pages 1735–1750
DOI: https://doi.org/10.1070/SM2008v199n12ABEH003979 (Mi sm3930) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Optimal recovery and finite-dimensional approximation in linear inverse problems

A. V. Bayev

M. V. Lomonosov Moscow State University, Faculty of Physics
English version PDF (318 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/SM2008v199n12ABEH003979
Abstract: The paper considers applications of the Lagrange principle to optimal recovery in a linear inverse problem with a priori information about its solution and extends previous results of the author on optimal recovery and finite-dimensional approximation. A theorem on general optimal recovery methods for problems in finite- and infinite-dimensional spaces is established and the approximation of a problem in an infinite-dimensional space by problems in finite-dimensional spaces is investigated. Applications of the theory presented are illustrated by examples.
Bibliography: 11 titles.
Received: 16.07.2007 and 20.05.2008
Bibliographic databases:
UDC: 517.983
MSC: Primary 49K35; Secondary 47A58
Language: English
Original paper language: Russian
Citation: A. V. Bayev, “Optimal recovery and finite-dimensional approximation in linear inverse problems”, Sb. Math., 199:12 (2008), 1735–1750
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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