Lower bounds for widths of classes of convolutions of periodic functions in the metrics of $C$ and $L$
We give new sufficient conditions for kernels to belong to the set $C_{y, 2n}$ introduced by Kushpel'. These conditions give the possibility of extending the set of kernels belonging to $C_{y, 2n}$. On the basis of these results, we obtain lower bounds for the Kolmogorov widths of classes o...
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| Дата: | 1995 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Російська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1995
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/5507 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511740164308992 |
|---|---|
| author | Serdyuk, A. S. Stepanets, O. I. Сердюк, А. С. Степанец, А. И. Сердюк, А. С. Степанец, А. И. |
| author_facet | Serdyuk, A. S. Stepanets, O. I. Сердюк, А. С. Степанец, А. И. Сердюк, А. С. Степанец, А. И. |
| author_sort | Serdyuk, A. S. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:12:10Z |
| description | We give new sufficient conditions for kernels to belong to the set $C_{y, 2n}$ introduced by Kushpel'. These conditions give the possibility of extending the set of kernels belonging to $C_{y, 2n}$. On the basis of these results, we obtain lower bounds for the Kolmogorov widths of classes of convolutions with these kernels. We show that these estimates are exact in certain important cases. |
| first_indexed | 2026-03-24T03:17:41Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5507 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:17:41Z |
| publishDate | 1995 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/ab/d17d3ee5426546674e4db104f05e8cab.pdf |
| spelling | umjimathkievua-article-55072020-03-19T09:12:10Z Lower bounds for widths of classes of convolutions of periodic functions in the metrics of $C$ and $L$ Оценки снизу поперечников классов сверток периодических функций в метриках $С$ и $L$ Serdyuk, A. S. Stepanets, O. I. Сердюк, А. С. Степанец, А. И. Сердюк, А. С. Степанец, А. И. We give new sufficient conditions for kernels to belong to the set $C_{y, 2n}$ introduced by Kushpel'. These conditions give the possibility of extending the set of kernels belonging to $C_{y, 2n}$. On the basis of these results, we obtain lower bounds for the Kolmogorov widths of classes of convolutions with these kernels. We show that these estimates are exact in certain important cases. Наведено нові достатні умови належності ядер до множини $C_{y, 2n}$ введеної О. К. Кушпелем. Ці умови дозволили розширити множину ядер, що належать до $C_{y, 2n}$ на основі чого одержано оцінки знизу поперечників за Колмогоровим для класів згорток з такими ядрами. Показано, що для деяких важливих випадків ці оцінки є точними. Institute of Mathematics, NAS of Ukraine 1995-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5507 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 8 (1995); 1112-1121 Український математичний журнал; Том 47 № 8 (1995); 1112-1121 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/5507/7703 Copyright (c) 1995 Serdyuk A. S.; Stepanets O. I. |
| spellingShingle | Serdyuk, A. S. Stepanets, O. I. Сердюк, А. С. Степанец, А. И. Сердюк, А. С. Степанец, А. И. Lower bounds for widths of classes of convolutions of periodic functions in the metrics of $C$ and $L$ |
| title | Lower bounds for widths of classes of convolutions of periodic functions in the metrics of $C$ and $L$ |
| title_alt | Оценки снизу поперечников классов сверток периодических функций в метриках $С$ и $L$ |
| title_full | Lower bounds for widths of classes of convolutions of periodic functions in the metrics of $C$ and $L$ |
| title_fullStr | Lower bounds for widths of classes of convolutions of periodic functions in the metrics of $C$ and $L$ |
| title_full_unstemmed | Lower bounds for widths of classes of convolutions of periodic functions in the metrics of $C$ and $L$ |
| title_short | Lower bounds for widths of classes of convolutions of periodic functions in the metrics of $C$ and $L$ |
| title_sort | lower bounds for widths of classes of convolutions of periodic functions in the metrics of $c$ and $l$ |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5507 |
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