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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| Veröffentlicht in: | Український математичний вісник |
|---|---|
| Datum: | 2008 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2008
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| Online Zugang: | 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 |
| Zitieren: | 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| _version_ | 1862740398926987264 |
|---|---|
| author | Solodky, S.G. |
| author_facet | Solodky, S.G. |
| 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. |
| collection | DSpace DC |
| container_title | Український математичний вісник |
| 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.
|
| first_indexed | 2025-12-07T20:14:18Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-124348 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1810-3200 |
| language | English |
| last_indexed | 2025-12-07T20:14:18Z |
| publishDate | 2008 |
| publisher | Інститут прикладної математики і механіки НАН України |
| 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 |
| spellingShingle | Optimal discretization for ill-posed integral equations with finitely smoothing operators Solodky, S.G. |
| title | 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_short | Optimal discretization for ill-posed integral equations with finitely smoothing operators |
| title_sort | optimal discretization for ill-posed integral equations with finitely smoothing operators |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/124348 |
| work_keys_str_mv | AT solodkysg optimaldiscretizationforillposedintegralequationswithfinitelysmoothingoperators |