An approach to the investigation of optimal quadrature formulas for singular integrals with fixed singularity
For classes of functions given on the segment [0,1], we obtain optimal quadrature formulas for singular integrals with fixed singularity. The obtained results are extended to the case of two-dimensional integrals.
Збережено в:
| Дата: | 1995 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1995
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/5531 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511760433283072 |
|---|---|
| author | Shabozov, M. Sh. Шабозов, М. Ш. Шабозов, М. Ш. |
| author_facet | Shabozov, M. Sh. Шабозов, М. Ш. Шабозов, М. Ш. |
| author_sort | Shabozov, M. Sh. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:12:37Z |
| description | For classes of functions given on the segment [0,1], we obtain optimal quadrature formulas for singular integrals with fixed singularity. The obtained results are extended to the case of two-dimensional integrals. |
| first_indexed | 2026-03-24T03:18:01Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5531 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:18:01Z |
| publishDate | 1995 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/4c/8f1ff1453451ef36c363636646f4344c.pdf |
| spelling | umjimathkievua-article-55312020-03-19T09:12:37Z An approach to the investigation of optimal quadrature formulas for singular integrals with fixed singularity Об одном подходе к исследованию оптимальных квадратурных формул для сингулярных интегралов с фиксированной особенностью Shabozov, M. Sh. Шабозов, М. Ш. Шабозов, М. Ш. For classes of functions given on the segment [0,1], we obtain optimal quadrature formulas for singular integrals with fixed singularity. The obtained results are extended to the case of two-dimensional integrals. Для класів функцій, заданих на відрізку $[0, 1]$, знайдені оптимальні квадратурні формули для сингулярних інтегралів з фіксованою особливістю. Одержані результати поширюються для двовимірних інтегралів. Institute of Mathematics, NAS of Ukraine 1995-09-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5531 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 9 (1995); 1300–1304 Український математичний журнал; Том 47 № 9 (1995); 1300–1304 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5531/7750 https://umj.imath.kiev.ua/index.php/umj/article/view/5531/7751 Copyright (c) 1995 Shabozov M. Sh. |
| spellingShingle | Shabozov, M. Sh. Шабозов, М. Ш. Шабозов, М. Ш. An approach to the investigation of optimal quadrature formulas for singular integrals with fixed singularity |
| title | An approach to the investigation of optimal quadrature formulas for singular integrals with fixed singularity |
| title_alt | Об одном подходе к исследованию оптимальных квадратурных
формул для сингулярных интегралов с фиксированной особенностью |
| title_full | An approach to the investigation of optimal quadrature formulas for singular integrals with fixed singularity |
| title_fullStr | An approach to the investigation of optimal quadrature formulas for singular integrals with fixed singularity |
| title_full_unstemmed | An approach to the investigation of optimal quadrature formulas for singular integrals with fixed singularity |
| title_short | An approach to the investigation of optimal quadrature formulas for singular integrals with fixed singularity |
| title_sort | approach to the investigation of optimal quadrature formulas for singular integrals with fixed singularity |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5531 |
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