Jackson-type inequalities and exact values of widths of classes of functions in the spaces $S^p , 1 ≤ p < ∞$
In the spaces $S^p , 1 ≤ p < ∞$, introduced by Stepanets, we obtain exact Jackson-type inequalities and compute the exact values of widths of classes of functions determined by averaged moduli of continuity of order $m$.
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| Datum: | 2004 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
2004
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/3780 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860509913000706048 |
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| author | Vakarchuk, S. B. Вакарчук, С. Б. Вакарчук, С. Б. |
| author_facet | Vakarchuk, S. B. Вакарчук, С. Б. Вакарчук, С. Б. |
| author_sort | Vakarchuk, S. B. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:08:43Z |
| description | In the spaces $S^p , 1 ≤ p < ∞$, introduced by Stepanets, we obtain exact Jackson-type inequalities and compute the exact values of widths of classes of functions determined by averaged moduli of continuity of order $m$. |
| first_indexed | 2026-03-24T02:48:39Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-3780 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:48:39Z |
| publishDate | 2004 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/92/fb80e42a88bc04a2686b61b1a65e9d92.pdf |
| spelling | umjimathkievua-article-37802020-03-18T20:08:43Z Jackson-type inequalities and exact values of widths of classes of functions in the spaces $S^p , 1 ≤ p < ∞$ Неравенства типа Джексона и точные значения поперечников классов функций пространствах $S^p , 1 ≤ p < ∞$ Vakarchuk, S. B. Вакарчук, С. Б. Вакарчук, С. Б. In the spaces $S^p , 1 ≤ p < ∞$, introduced by Stepanets, we obtain exact Jackson-type inequalities and compute the exact values of widths of classes of functions determined by averaged moduli of continuity of order $m$. У введених О. І. Степанцем просторах $S^p , 1 ≤ p < ∞$ одержано точні нерівності типу Джексона та обчислено точні значення поперечників класів функцій, визначених за допомогою усереднених модулів неперервності $m$-го порядку. Institute of Mathematics, NAS of Ukraine 2004-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3780 Ukrains’kyi Matematychnyi Zhurnal; Vol. 56 No. 5 (2004); 595–605 Український математичний журнал; Том 56 № 5 (2004); 595–605 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/3780/4281 https://umj.imath.kiev.ua/index.php/umj/article/view/3780/4282 Copyright (c) 2004 Vakarchuk S. B. |
| spellingShingle | Vakarchuk, S. B. Вакарчук, С. Б. Вакарчук, С. Б. Jackson-type inequalities and exact values of widths of classes of functions in the spaces $S^p , 1 ≤ p < ∞$ |
| title | Jackson-type inequalities and exact values of widths of classes of functions in the spaces $S^p , 1 ≤ p < ∞$ |
| title_alt | Неравенства типа Джексона и точные значения поперечников классов
функций пространствах $S^p , 1 ≤ p < ∞$ |
| title_full | Jackson-type inequalities and exact values of widths of classes of functions in the spaces $S^p , 1 ≤ p < ∞$ |
| title_fullStr | Jackson-type inequalities and exact values of widths of classes of functions in the spaces $S^p , 1 ≤ p < ∞$ |
| title_full_unstemmed | Jackson-type inequalities and exact values of widths of classes of functions in the spaces $S^p , 1 ≤ p < ∞$ |
| title_short | Jackson-type inequalities and exact values of widths of classes of functions in the spaces $S^p , 1 ≤ p < ∞$ |
| title_sort | jackson-type inequalities and exact values of widths of classes of functions in the spaces $s^p , 1 ≤ p < ∞$ |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3780 |
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