On quadrature and cubature formulas for a class of multiple singular integrals
We consider the problem of conditions for the existence of multiple singular integrals of a certain class at inner and boundary points of a domain. We obtain the quadrature and cubature formulas for calculating multiple singular integrals and present the corresponding estimates for the formulas.
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| Datum: | 1997 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1997
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5172 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511376799170560 |
|---|---|
| author | Akimenko, V. V. Акименко, В. В. Акименко, В. В. |
| author_facet | Akimenko, V. V. Акименко, В. В. Акименко, В. В. |
| author_sort | Akimenko, V. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:26:15Z |
| description | We consider the problem of conditions for the existence of multiple singular integrals of a certain class at inner and boundary points of a domain. We obtain the quadrature and cubature formulas for calculating multiple singular integrals and present the corresponding estimates for the formulas. |
| first_indexed | 2026-03-24T03:11:55Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5172 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:11:55Z |
| publishDate | 1997 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/62/5fd4268f4e0c7eb90c3546d205819262.pdf |
| spelling | umjimathkievua-article-51722020-03-18T21:26:15Z On quadrature and cubature formulas for a class of multiple singular integrals О квадратурных и кубатурных формулах для одного класса кратных сингулярных интегралов Akimenko, V. V. Акименко, В. В. Акименко, В. В. We consider the problem of conditions for the existence of multiple singular integrals of a certain class at inner and boundary points of a domain. We obtain the quadrature and cubature formulas for calculating multiple singular integrals and present the corresponding estimates for the formulas. Розглянуто питання про умови існування кратних сингулярних інтегралів одного класу у внутрішніх та межових точках області. Одержано квадратурні та кубатурні формули для розрахувати кратних сингулярних інтегралів та наведено відповідні оцінки для формул. Institute of Mathematics, NAS of Ukraine 1997-12-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5172 Ukrains’kyi Matematychnyi Zhurnal; Vol. 49 No. 12 (1997); 1677–1683 Український математичний журнал; Том 49 № 12 (1997); 1677–1683 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5172/7040 https://umj.imath.kiev.ua/index.php/umj/article/view/5172/7041 Copyright (c) 1997 Akimenko V. V. |
| spellingShingle | Akimenko, V. V. Акименко, В. В. Акименко, В. В. On quadrature and cubature formulas for a class of multiple singular integrals |
| title | On quadrature and cubature formulas for a class of multiple singular integrals |
| title_alt | О квадратурных и кубатурных формулах для одного класса кратных сингулярных интегралов |
| title_full | On quadrature and cubature formulas for a class of multiple singular integrals |
| title_fullStr | On quadrature and cubature formulas for a class of multiple singular integrals |
| title_full_unstemmed | On quadrature and cubature formulas for a class of multiple singular integrals |
| title_short | On quadrature and cubature formulas for a class of multiple singular integrals |
| title_sort | on quadrature and cubature formulas for a class of multiple singular integrals |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5172 |
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