Coordinated approximation method for nonlinear ill-posed problems
A generalization of the method of coordinated approximation suggested by Yu. Gaponenko [1] for the space $L_2(0, 1)$ is developed for abstract Hilbeit spaces. In particular, it is shown that, for $L_2(0, 1)$, some assumptions concerning ал exact solution can be weaken.
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| Дата: | 1994 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1994
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/5690 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511916287328256 |
|---|---|
| author | Pham, Ky Anh. Фам, Кі Анх |
| author_facet | Pham, Ky Anh. Фам, Кі Анх |
| author_sort | Pham, Ky Anh. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:15:43Z |
| description | A generalization of the method of coordinated approximation suggested by Yu. Gaponenko [1] for the space $L_2(0, 1)$ is developed for abstract Hilbeit spaces.
In particular, it is shown that, for $L_2(0, 1)$,
some assumptions concerning ал exact solution can be weaken. |
| first_indexed | 2026-03-24T03:20:29Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5690 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:20:29Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/a6/680b69511b5731b738aff9d0056242a6.pdf |
| spelling | umjimathkievua-article-56902020-03-19T09:15:43Z Coordinated approximation method for nonlinear ill-posed problems Метод узгодженого наближення для нелінійних неправомірних задач Pham, Ky Anh. Фам, Кі Анх A generalization of the method of coordinated approximation suggested by Yu. Gaponenko [1] for the space $L_2(0, 1)$ is developed for abstract Hilbeit spaces. In particular, it is shown that, for $L_2(0, 1)$, some assumptions concerning ал exact solution can be weaken. Наведено узагальнення на абстрактний простір Гільберта узгодженої апроксимації, запропонованої Ю. Л. Гапоненком для простору $L_2(0, 1)$. Зокрема, показано, що для $L_2(0, 1)$ деякі умови відносно точного розв'язку можуть бути послаблені. Institute of Mathematics, NAS of Ukraine 1994-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5690 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 7 (1994); 956-961 Український математичний журнал; Том 46 № 7 (1994); 956-961 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/5690/8065 https://umj.imath.kiev.ua/index.php/umj/article/view/5690/8066 Copyright (c) 1994 Pham Ky Anh. |
| spellingShingle | Pham, Ky Anh. Фам, Кі Анх Coordinated approximation method for nonlinear ill-posed problems |
| title | Coordinated approximation method for nonlinear ill-posed problems |
| title_alt | Метод узгодженого наближення для нелінійних неправомірних задач |
| title_full | Coordinated approximation method for nonlinear ill-posed problems |
| title_fullStr | Coordinated approximation method for nonlinear ill-posed problems |
| title_full_unstemmed | Coordinated approximation method for nonlinear ill-posed problems |
| title_short | Coordinated approximation method for nonlinear ill-posed problems |
| title_sort | coordinated approximation method for nonlinear ill-posed problems |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5690 |
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