On the optimization of direct methods for solving fredholm integral equations of the second kind with infinitely smooth kernels
We give a direct method, optimal in $L_2$, for solving the Fredholm integral equation of the second kind with operators acting into the space of functions harmonic in a disk or into the space of functions that can be analytically extended to an infinite strip. The exact order of the error of this me...
Збережено в:
| Дата: | 1993 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1993
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/5978 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512202238197760 |
|---|---|
| author | Urumbaev, A. N. Урумбаев, А. Н. Урумбаев, А. Н. |
| author_facet | Urumbaev, A. N. Урумбаев, А. Н. Урумбаев, А. Н. |
| author_sort | Urumbaev, A. N. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:22:20Z |
| description | We give a direct method, optimal in $L_2$, for solving the Fredholm integral equation of the second kind with operators acting into the space of functions harmonic in a disk or into the space of functions that can be analytically extended to an infinite strip. The exact order of the error of this method is determined. |
| first_indexed | 2026-03-24T03:25:02Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5978 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:25:02Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/cd/4a50dd0e4d7aaeb084b1c53ba0a7c9cd.pdf |
| spelling | umjimathkievua-article-59782020-03-19T09:22:20Z On the optimization of direct methods for solving fredholm integral equations of the second kind with infinitely smooth kernels Об оптимизации прямых методов решения интегральных уравнений Фредгольма II-рода с ядрами бесконечной гладкости Urumbaev, A. N. Урумбаев, А. Н. Урумбаев, А. Н. We give a direct method, optimal in $L_2$, for solving the Fredholm integral equation of the second kind with operators acting into the space of functions harmonic in a disk or into the space of functions that can be analytically extended to an infinite strip. The exact order of the error of this method is determined. Вказано оптимальний в $L_2$ прямий метод розв’язання інтегральних рівнянь Фредгольма Проду з операторами, які діють у простори функцій, гармонічних у крузі, а також функцій, які можна аналітично продовжити в нескінченну смугу. Знайдено точний порядок похибки вказаного методу. Institute of Mathematics, NAS of Ukraine 1993-12-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5978 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 12 (1993); 1695–1701 Український математичний журнал; Том 45 № 12 (1993); 1695–1701 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5978/8639 https://umj.imath.kiev.ua/index.php/umj/article/view/5978/8640 Copyright (c) 1993 Urumbaev A. N. |
| spellingShingle | Urumbaev, A. N. Урумбаев, А. Н. Урумбаев, А. Н. On the optimization of direct methods for solving fredholm integral equations of the second kind with infinitely smooth kernels |
| title | On the optimization of direct methods for solving fredholm integral equations of the second kind with infinitely smooth kernels |
| title_alt | Об оптимизации прямых методов решения интегральных уравнений Фредгольма II-рода с ядрами бесконечной гладкости |
| title_full | On the optimization of direct methods for solving fredholm integral equations of the second kind with infinitely smooth kernels |
| title_fullStr | On the optimization of direct methods for solving fredholm integral equations of the second kind with infinitely smooth kernels |
| title_full_unstemmed | On the optimization of direct methods for solving fredholm integral equations of the second kind with infinitely smooth kernels |
| title_short | On the optimization of direct methods for solving fredholm integral equations of the second kind with infinitely smooth kernels |
| title_sort | on the optimization of direct methods for solving fredholm integral equations of the second kind with infinitely smooth kernels |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5978 |
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