On the calculation of certain singular integrals
A method for the approximate calculation of Cauchy-type integrals with logarithmic singularities is proposed. It is based on the expansion of a function $f(x)$ in a series in the Chebyshev polynomials.
Gespeichert in:
| Datum: | 1993 |
|---|---|
| Hauptverfasser: | , , , , , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1993
|
| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5917 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512134435176448 |
|---|---|
| author | Kovalenko, I. L. Litvin, A. I. Simonzhenkov, S. D. Коваленко, И. Л. Литвин, А. И. Симонженков, С. Д. Коваленко, И. Л. Литвин, А. И. Симонженков, С. Д. |
| author_facet | Kovalenko, I. L. Litvin, A. I. Simonzhenkov, S. D. Коваленко, И. Л. Литвин, А. И. Симонженков, С. Д. Коваленко, И. Л. Литвин, А. И. Симонженков, С. Д. |
| author_sort | Kovalenko, I. L. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:20:26Z |
| description | A method for the approximate calculation of Cauchy-type integrals with logarithmic singularities is proposed. It is based on the expansion of a function $f(x)$ in a series in the Chebyshev polynomials. |
| first_indexed | 2026-03-24T03:23:57Z |
| format | Article |
| fulltext |
0124
0125
0126
|
| id | umjimathkievua-article-5917 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:23:57Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/bf/0934515125e90ec20e4686cab19b34bf.pdf |
| spelling | umjimathkievua-article-59172020-03-19T09:20:26Z On the calculation of certain singular integrals О вычислении некоторых сингулярных интегралов Kovalenko, I. L. Litvin, A. I. Simonzhenkov, S. D. Коваленко, И. Л. Литвин, А. И. Симонженков, С. Д. Коваленко, И. Л. Литвин, А. И. Симонженков, С. Д. A method for the approximate calculation of Cauchy-type integrals with logarithmic singularities is proposed. It is based on the expansion of a function $f(x)$ in a series in the Chebyshev polynomials. Для інтегралів типу Коші з логарифмічною особливістю пропонується спосіб наближеного обчислення, обгрунтований на розкладанні функції $f(x)$ в ряд за многочленами Чебишова. Institute of Mathematics, NAS of Ukraine 1993-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5917 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 8 (1993); 1174–1176 Український математичний журнал; Том 45 № 8 (1993); 1174–1176 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5917/8517 https://umj.imath.kiev.ua/index.php/umj/article/view/5917/8518 Copyright (c) 1993 Kovalenko I. L.; Litvin A. I.; Simonzhenkov S. D. |
| spellingShingle | Kovalenko, I. L. Litvin, A. I. Simonzhenkov, S. D. Коваленко, И. Л. Литвин, А. И. Симонженков, С. Д. Коваленко, И. Л. Литвин, А. И. Симонженков, С. Д. On the calculation of certain singular integrals |
| title | On the calculation of certain singular integrals |
| title_alt | О вычислении некоторых сингулярных интегралов |
| title_full | On the calculation of certain singular integrals |
| title_fullStr | On the calculation of certain singular integrals |
| title_full_unstemmed | On the calculation of certain singular integrals |
| title_short | On the calculation of certain singular integrals |
| title_sort | on the calculation of certain singular integrals |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5917 |
| work_keys_str_mv | AT kovalenkoil onthecalculationofcertainsingularintegrals AT litvinai onthecalculationofcertainsingularintegrals AT simonzhenkovsd onthecalculationofcertainsingularintegrals AT kovalenkoil onthecalculationofcertainsingularintegrals AT litvinai onthecalculationofcertainsingularintegrals AT simonženkovsd onthecalculationofcertainsingularintegrals AT kovalenkoil onthecalculationofcertainsingularintegrals AT litvinai onthecalculationofcertainsingularintegrals AT simonženkovsd onthecalculationofcertainsingularintegrals AT kovalenkoil ovyčisleniinekotoryhsingulârnyhintegralov AT litvinai ovyčisleniinekotoryhsingulârnyhintegralov AT simonzhenkovsd ovyčisleniinekotoryhsingulârnyhintegralov AT kovalenkoil ovyčisleniinekotoryhsingulârnyhintegralov AT litvinai ovyčisleniinekotoryhsingulârnyhintegralov AT simonženkovsd ovyčisleniinekotoryhsingulârnyhintegralov AT kovalenkoil ovyčisleniinekotoryhsingulârnyhintegralov AT litvinai ovyčisleniinekotoryhsingulârnyhintegralov AT simonženkovsd ovyčisleniinekotoryhsingulârnyhintegralov |