Estimates for the modulus of a Cauchy-type integral and its derivatives
In a domain bounded by a closed rectifiable Jordan curve, we obtain estimates for the modulus of a Cauchy-type integral and its derivatives in terms of the contour moduli of smoothness of the integrand and a metric characteristic of the curve.
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| Date: | 1999 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1999
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4660 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510813907845120 |
|---|---|
| author | Gerus, O. F. Герус, О. Ф. Герус, О. Ф. |
| author_facet | Gerus, O. F. Герус, О. Ф. Герус, О. Ф. |
| author_sort | Gerus, O. F. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:11:00Z |
| description | In a domain bounded by a closed rectifiable Jordan curve, we obtain estimates for the modulus of a Cauchy-type integral and its derivatives in terms of the contour moduli of smoothness of the integrand and a metric characteristic of the curve. |
| first_indexed | 2026-03-24T03:02:58Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4660 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:02:58Z |
| publishDate | 1999 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/cf/c8c8d8bd7c0c1e817f19488564ed36cf.pdf |
| spelling | umjimathkievua-article-46602020-03-18T21:11:00Z Estimates for the modulus of a Cauchy-type integral and its derivatives Оценки модуля интеграла типа Коши и его производных Gerus, O. F. Герус, О. Ф. Герус, О. Ф. In a domain bounded by a closed rectifiable Jordan curve, we obtain estimates for the modulus of a Cauchy-type integral and its derivatives in terms of the contour moduli of smoothness of the integrand and a metric characteristic of the curve. Отримано оцінки модуля інтеграла типу Коші та його похідних в області, обмеженій замкненою жордановою спрямлюваною кривою, через контурні модулі гладкості підінтегральної функції та метричну характеристику кривої. Institute of Mathematics, NAS of Ukraine 1999-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4660 Ukrains’kyi Matematychnyi Zhurnal; Vol. 51 No. 6 (1999); 732–743 Український математичний журнал; Том 51 № 6 (1999); 732–743 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4660/6022 https://umj.imath.kiev.ua/index.php/umj/article/view/4660/6023 Copyright (c) 1999 Gerus O. F. |
| spellingShingle | Gerus, O. F. Герус, О. Ф. Герус, О. Ф. Estimates for the modulus of a Cauchy-type integral and its derivatives |
| title | Estimates for the modulus of a Cauchy-type integral and its derivatives |
| title_alt | Оценки модуля интеграла типа Коши и его производных |
| title_full | Estimates for the modulus of a Cauchy-type integral and its derivatives |
| title_fullStr | Estimates for the modulus of a Cauchy-type integral and its derivatives |
| title_full_unstemmed | Estimates for the modulus of a Cauchy-type integral and its derivatives |
| title_short | Estimates for the modulus of a Cauchy-type integral and its derivatives |
| title_sort | estimates for the modulus of a cauchy-type integral and its derivatives |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4660 |
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