On extremal problems on classes of functions defined by integral moduli of continuity
We obtain lower bounds for solutions of some extremal problems on classes of functions W rH 1 ω with integral modulus of continuity ω(t). Some of these bounds are regarded as exact.
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| Datum: | 1997 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1997
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5148 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511352967135232 |
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| author | Ligun, A. A. Chernaya, E. V. Лигун, А. А. Черная, Е. В. Лигун, А. А. Черная, Е. В. |
| author_facet | Ligun, A. A. Chernaya, E. V. Лигун, А. А. Черная, Е. В. Лигун, А. А. Черная, Е. В. |
| author_sort | Ligun, A. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:25:50Z |
| description | We obtain lower bounds for solutions of some extremal problems on classes of functions W rH 1 ω with integral modulus of continuity ω(t). Some of these bounds are regarded as exact. |
| first_indexed | 2026-03-24T03:11:32Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5148 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:11:32Z |
| publishDate | 1997 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/14/69602922e2e66ab204c96fc9523e2914.pdf |
| spelling | umjimathkievua-article-51482020-03-18T21:25:50Z On extremal problems on classes of functions defined by integral moduli of continuity Об экстремальных задачах на классах функций, определяемых интегральными модулями непрерывности Ligun, A. A. Chernaya, E. V. Лигун, А. А. Черная, Е. В. Лигун, А. А. Черная, Е. В. We obtain lower bounds for solutions of some extremal problems on classes of functions W rH 1 ω with integral modulus of continuity ω(t). Some of these bounds are regarded as exact. Одержано оцінки знизу розв'язків деяких екстремальних задач на класах функцій W rH 1 ω з інтегральним модулем неперервності ω(t). Деякі з цих оцінок ми вважаємо точними. Institute of Mathematics, NAS of Ukraine 1997-11-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5148 Ukrains’kyi Matematychnyi Zhurnal; Vol. 49 No. 11 (1997); 1499–1503 Український математичний журнал; Том 49 № 11 (1997); 1499–1503 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5148/6992 https://umj.imath.kiev.ua/index.php/umj/article/view/5148/6993 Copyright (c) 1997 Ligun A. A.; Chernaya E. V. |
| spellingShingle | Ligun, A. A. Chernaya, E. V. Лигун, А. А. Черная, Е. В. Лигун, А. А. Черная, Е. В. On extremal problems on classes of functions defined by integral moduli of continuity |
| title | On extremal problems on classes of functions defined by integral moduli of continuity |
| title_alt | Об экстремальных задачах на классах функций,
определяемых интегральными модулями непрерывности |
| title_full | On extremal problems on classes of functions defined by integral moduli of continuity |
| title_fullStr | On extremal problems on classes of functions defined by integral moduli of continuity |
| title_full_unstemmed | On extremal problems on classes of functions defined by integral moduli of continuity |
| title_short | On extremal problems on classes of functions defined by integral moduli of continuity |
| title_sort | on extremal problems on classes of functions defined by integral moduli of continuity |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5148 |
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