Optimization of quadratures on classes of functions given by differential operators with Real Spectra
We study the problem of optimization of quadrature formulas for broad classes of periodic functions defined in terms of differential operators with real spectra. We analyze quadrature formulas containing values of functions and values of the images of functions under the action of some differential...
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| Datum: | 1996 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1996
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5326 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511549044555776 |
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| author | Babenko, V. V. Rudenko, A. A. Бабенко, В. В. Руденко, А. А. Бабенко, В. В. Руденко, А. А. |
| author_facet | Babenko, V. V. Rudenko, A. A. Бабенко, В. В. Руденко, А. А. Бабенко, В. В. Руденко, А. А. |
| author_sort | Babenko, V. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:30:31Z |
| description | We study the problem of optimization of quadrature formulas for broad classes of periodic functions defined in terms of differential operators with real spectra. We analyze quadrature formulas containing values of functions and values of the images of functions under the action of some differential operators. The rectangular formula is proved to be optimal. |
| first_indexed | 2026-03-24T03:14:39Z |
| format | Article |
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| id | umjimathkievua-article-5326 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:14:39Z |
| publishDate | 1996 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/24/4abde5a377c990d4d6bd485ecf2d9424.pdf |
| spelling | umjimathkievua-article-53262020-03-18T21:30:31Z Optimization of quadratures on classes of functions given by differential operators with Real Spectra Оптимизация квадратур на классах функций, задаваемых дифференциальными операторами с вещественным спектром Babenko, V. V. Rudenko, A. A. Бабенко, В. В. Руденко, А. А. Бабенко, В. В. Руденко, А. А. We study the problem of optimization of quadrature formulas for broad classes of periodic functions defined in terms of differential operators with real spectra. We analyze quadrature formulas containing values of functions and values of the images of functions under the action of some differential operators. The rectangular formula is proved to be optimal. Вивчається задача про оптимізації квадратдичних формул на широких класах періодичних функцій, які задаються за допомогою диференціальних операторів з дійсним спектром. Розглядаються квадратурні формули, які використовують значення функцій і значення образів функції при дії деяких диференціальних операторів. Доведено, що оптимальною є формула прямокутників. Institute of Mathematics, NAS of Ukraine 1996-03-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5326 Ukrains’kyi Matematychnyi Zhurnal; Vol. 48 No. 3 (1996); 291-300 Український математичний журнал; Том 48 № 3 (1996); 291-300 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5326/7343 https://umj.imath.kiev.ua/index.php/umj/article/view/5326/7344 Copyright (c) 1996 Babenko V. V.; Rudenko A. A. |
| spellingShingle | Babenko, V. V. Rudenko, A. A. Бабенко, В. В. Руденко, А. А. Бабенко, В. В. Руденко, А. А. Optimization of quadratures on classes of functions given by differential operators with Real Spectra |
| title | Optimization of quadratures on classes of functions given by differential operators with Real Spectra |
| title_alt | Оптимизация квадратур на классах функций, задаваемых
дифференциальными операторами с вещественным спектром |
| title_full | Optimization of quadratures on classes of functions given by differential operators with Real Spectra |
| title_fullStr | Optimization of quadratures on classes of functions given by differential operators with Real Spectra |
| title_full_unstemmed | Optimization of quadratures on classes of functions given by differential operators with Real Spectra |
| title_short | Optimization of quadratures on classes of functions given by differential operators with Real Spectra |
| title_sort | optimization of quadratures on classes of functions given by differential operators with real spectra |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5326 |
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