On the best approximation of classes of convolutions of periodic functions by trigonometric polynomials
We present sufficient conditions for kernels to belong to the classN n * . In certain cases, this enables us to find exact values of the best approximations of classes of convolutions by trigonometric polynomials in the metrics ofC andL.
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| Datum: | 1995 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1995
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5526 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511756529434624 |
|---|---|
| author | Serdyuk, A. S. Сердюк, А. С. Сердюк, А. С. |
| author_facet | Serdyuk, A. S. Сердюк, А. С. Сердюк, А. С. |
| author_sort | Serdyuk, A. S. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:12:37Z |
| description | We present sufficient conditions for kernels to belong to the classN n * . In certain cases, this enables us to find exact values of the best approximations of classes of convolutions by trigonometric polynomials in the metrics ofC andL. |
| first_indexed | 2026-03-24T03:17:57Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5526 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:17:57Z |
| publishDate | 1995 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/a5/a629b23c1ff630ba7b75204e667850a5.pdf |
| spelling | umjimathkievua-article-55262020-03-19T09:12:37Z On the best approximation of classes of convolutions of periodic functions by trigonometric polynomials О наилучшем приближении классов сверток периодических функций тригонометрическими полиномами Serdyuk, A. S. Сердюк, А. С. Сердюк, А. С. We present sufficient conditions for kernels to belong to the classN n * . In certain cases, this enables us to find exact values of the best approximations of classes of convolutions by trigonometric polynomials in the metrics ofC andL. Запропоновані достатні умови належності ядер до класу $N_n$ , що дало змогу в деяких випадках знайти точні значення величин найкращих наближень класів згорток тригонометричними поліномами в метриках $С$ і $L$. Institute of Mathematics, NAS of Ukraine 1995-09-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5526 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 9 (1995); 1261–1265 Український математичний журнал; Том 47 № 9 (1995); 1261–1265 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5526/7740 https://umj.imath.kiev.ua/index.php/umj/article/view/5526/7741 Copyright (c) 1995 Serdyuk A. S. |
| spellingShingle | Serdyuk, A. S. Сердюк, А. С. Сердюк, А. С. On the best approximation of classes of convolutions of periodic functions by trigonometric polynomials |
| title | On the best approximation of classes of convolutions of periodic functions by trigonometric polynomials |
| title_alt | О наилучшем приближении классов сверток периодических функций
тригонометрическими полиномами |
| title_full | On the best approximation of classes of convolutions of periodic functions by trigonometric polynomials |
| title_fullStr | On the best approximation of classes of convolutions of periodic functions by trigonometric polynomials |
| title_full_unstemmed | On the best approximation of classes of convolutions of periodic functions by trigonometric polynomials |
| title_short | On the best approximation of classes of convolutions of periodic functions by trigonometric polynomials |
| title_sort | on the best approximation of classes of convolutions of periodic functions by trigonometric polynomials |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5526 |
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