Optimal discretization for ill-posed integral equations with finitely smoothing operators

A new approach to the approximate solution of Fredholm integral equations of the first kind with finitely smoothing operators is worked out. It is established that on wide classes of such equations this approach allows to achieve the given level of accuracy at the minimal expense of the discrete inf...

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Bibliographic Details
Date:2008
Main Author: Solodky, S.G.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2008
Series:Український математичний вісник
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/124348
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Optimal discretization for ill-posed integral equations with finitely smoothing operators / S.G. Solodky // Український математичний вісник. — 2008. — Т. 5, № 3. — С. 382-393. — Бібліогр.: 11 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine