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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Бібліографічні деталі
Опубліковано в: :Український математичний вісник
Дата:2008
Автор: Solodky, S.G.
Формат: Стаття
Мова:English
Опубліковано: Інститут прикладної математики і механіки НАН України 2008
Онлайн доступ:https://nasplib.isofts.kiev.ua/handle/123456789/124348
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати: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.

Репозитарії

Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-124348
record_format dspace
spelling Solodky, S.G.
2017-09-23T19:29:28Z
2017-09-23T19:29:28Z
2008
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.
1810-3200
2000 MSC. 65J20, 47A52.
https://nasplib.isofts.kiev.ua/handle/123456789/124348
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 information.
en
Інститут прикладної математики і механіки НАН України
Український математичний вісник
Optimal discretization for ill-posed integral equations with finitely smoothing operators
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title Optimal discretization for ill-posed integral equations with finitely smoothing operators
spellingShingle Optimal discretization for ill-posed integral equations with finitely smoothing operators
Solodky, S.G.
title_short Optimal discretization for ill-posed integral equations with finitely smoothing operators
title_full Optimal discretization for ill-posed integral equations with finitely smoothing operators
title_fullStr Optimal discretization for ill-posed integral equations with finitely smoothing operators
title_full_unstemmed Optimal discretization for ill-posed integral equations with finitely smoothing operators
title_sort optimal discretization for ill-posed integral equations with finitely smoothing operators
author Solodky, S.G.
author_facet Solodky, S.G.
publishDate 2008
language English
container_title Український математичний вісник
publisher Інститут прикладної математики і механіки НАН України
format Article
description 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 information.
issn 1810-3200
url https://nasplib.isofts.kiev.ua/handle/123456789/124348
citation_txt 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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last_indexed 2025-12-07T20:14:18Z
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