Approximation of classes of convolutions by linear methods of summation of Fourier series
We consider a family of special linear methods of summation of Fourier series and establish exact equalities for the approximation of classes of convolutions with even and odd kernels by polynomials generated by these methods.
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| Datum: | 1997 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Ukrainisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1997
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5059 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511254727098368 |
|---|---|
| author | Bushev, D. M. Бушев, Д. М. |
| author_facet | Bushev, D. M. Бушев, Д. М. |
| author_sort | Bushev, D. M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:24:02Z |
| description | We consider a family of special linear methods of summation of Fourier series and establish exact equalities for the approximation of classes of convolutions with even and odd kernels by polynomials generated by these methods. |
| first_indexed | 2026-03-24T03:09:58Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5059 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:09:58Z |
| publishDate | 1997 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/a4/a0a43179c44f2a2897b4e3c1e7ce0da4.pdf |
| spelling | umjimathkievua-article-50592020-03-18T21:24:02Z Approximation of classes of convolutions by linear methods of summation of Fourier series Про наближення класів згорток лінійними методами підсумовування рядів Фур'є Bushev, D. M. Бушев, Д. М. We consider a family of special linear methods of summation of Fourier series and establish exact equalities for the approximation of classes of convolutions with even and odd kernels by polynomials generated by these methods. Розглядається сім'я спеціальних лінійних методів підсумовування рядів Фур'є і знаходяться точні рівності для наближення поліномами, що породжуються цими методами класів згорток з парними та непарними ядрами Institute of Mathematics, NAS of Ukraine 1997-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5059 Ukrains’kyi Matematychnyi Zhurnal; Vol. 49 No. 6 (1997); 739–753 Український математичний журнал; Том 49 № 6 (1997); 739–753 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5059/6815 https://umj.imath.kiev.ua/index.php/umj/article/view/5059/6816 Copyright (c) 1997 Bushev D. M. |
| spellingShingle | Bushev, D. M. Бушев, Д. М. Approximation of classes of convolutions by linear methods of summation of Fourier series |
| title | Approximation of classes of convolutions by linear methods of summation of Fourier series |
| title_alt | Про наближення класів згорток лінійними методами підсумовування рядів Фур'є |
| title_full | Approximation of classes of convolutions by linear methods of summation of Fourier series |
| title_fullStr | Approximation of classes of convolutions by linear methods of summation of Fourier series |
| title_full_unstemmed | Approximation of classes of convolutions by linear methods of summation of Fourier series |
| title_short | Approximation of classes of convolutions by linear methods of summation of Fourier series |
| title_sort | approximation of classes of convolutions by linear methods of summation of fourier series |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5059 |
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