$J$-fractional regularization of linear ill-posed equations
We present a method for solution of linear ill-posed equations in function spaces based on the use of continuous $J$-fractions. We obtain a meromorphic solution of regularized equations and indicate some cases where a solution can be represented in terms of rational functions.
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| Datum: | 1996 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Ukrainisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1996
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5257 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511474549522432 |
|---|---|
| author | Syavavko, M. S. Сявавко, М. С. |
| author_facet | Syavavko, M. S. Сявавко, М. С. |
| author_sort | Syavavko, M. S. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:28:48Z |
| description | We present a method for solution of linear ill-posed equations in function spaces based on the use of continuous $J$-fractions. We obtain a meromorphic solution of regularized equations and indicate some cases where a solution can be represented in terms of rational functions. |
| first_indexed | 2026-03-24T03:13:28Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5257 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian |
| last_indexed | 2026-03-24T03:13:28Z |
| publishDate | 1996 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/e0/f992b266bf4bb5e8b2ad8e21186f2fe0.pdf |
| spelling | umjimathkievua-article-52572020-03-18T21:28:48Z $J$-fractional regularization of linear ill-posed equations $J$-дробова регуляризація лінійних некоректних рівнянь Syavavko, M. S. Сявавко, М. С. We present a method for solution of linear ill-posed equations in function spaces based on the use of continuous $J$-fractions. We obtain a meromorphic solution of regularized equations and indicate some cases where a solution can be represented in terms of rational functions. На основі апарату неперервних $J$-дробів викладено метод розв'язання лінійних некоректних рівнянь у функціональних просторах. Знайдено мероморфний розв'язок регуляризованих рівнянь. Відмічено випадки зображення розв'язку раціональними функціями. Institute of Mathematics, NAS of Ukraine 1996-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5257 Ukrains’kyi Matematychnyi Zhurnal; Vol. 48 No. 8 (1996); 1130-1143 Український математичний журнал; Том 48 № 8 (1996); 1130-1143 1027-3190 uk https://umj.imath.kiev.ua/index.php/umj/article/view/5257/7207 Copyright (c) 1996 Syavavko M. S. |
| spellingShingle | Syavavko, M. S. Сявавко, М. С. $J$-fractional regularization of linear ill-posed equations |
| title | $J$-fractional regularization of linear ill-posed equations |
| title_alt | $J$-дробова регуляризація лінійних некоректних рівнянь |
| title_full | $J$-fractional regularization of linear ill-posed equations |
| title_fullStr | $J$-fractional regularization of linear ill-posed equations |
| title_full_unstemmed | $J$-fractional regularization of linear ill-posed equations |
| title_short | $J$-fractional regularization of linear ill-posed equations |
| title_sort | $j$-fractional regularization of linear ill-posed equations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5257 |
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