Bestm-term trigonometric approximations of classes of (Ψ, β)-differentiable functions of one variable
We obtain an estimate exact in order for the best trigonometric approximation of classes \(L_{\beta ,p}^\psi \) of functions of one variable in the spaceL q in the case where 1
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| Date: | 2000 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2000
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4482 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510608330326016 |
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| author | Fedorenko, A. S. Федоренко, А. С. Федоренко, А. С. |
| author_facet | Fedorenko, A. S. Федоренко, А. С. Федоренко, А. С. |
| author_sort | Fedorenko, A. S. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:29:37Z |
| description | We obtain an estimate exact in order for the best trigonometric approximation of classes \(L_{\beta ,p}^\psi \) of functions of one variable in the spaceL q in the case where 1 |
| first_indexed | 2026-03-24T02:59:42Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4482 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:59:42Z |
| publishDate | 2000 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/ec/67df4eec5abe09b2427733e662d9e0ec.pdf |
| spelling | umjimathkievua-article-44822020-03-18T20:29:37Z Bestm-term trigonometric approximations of classes of (Ψ, β)-differentiable functions of one variable Наилучшие $m$-членные тригонометрические приближения классов (Ψ, β)-диффереицируемых функций одной переменной Fedorenko, A. S. Федоренко, А. С. Федоренко, А. С. We obtain an estimate exact in order for the best trigonometric approximation of classes \(L_{\beta ,p}^\psi \) of functions of one variable in the spaceL q in the case where 1 Одержано точну за порядком оцінку найкращого тригонометричного наближення классів $L_{\beta ,p}^\psi$ функцій однієї змінної в просторі $L_q$ у випадку $1 < p ≤ 2 ≤ q < ∞.$ Institute of Mathematics, NAS of Ukraine 2000-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4482 Ukrains’kyi Matematychnyi Zhurnal; Vol. 52 No. 6 (2000); 850–855 Український математичний журнал; Том 52 № 6 (2000); 850–855 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4482/5668 https://umj.imath.kiev.ua/index.php/umj/article/view/4482/5669 Copyright (c) 2000 Fedorenko A. S. |
| spellingShingle | Fedorenko, A. S. Федоренко, А. С. Федоренко, А. С. Bestm-term trigonometric approximations of classes of (Ψ, β)-differentiable functions of one variable |
| title | Bestm-term trigonometric approximations of classes of (Ψ, β)-differentiable functions of one variable |
| title_alt | Наилучшие $m$-членные тригонометрические приближения классов (Ψ, β)-диффереицируемых функций одной переменной |
| title_full | Bestm-term trigonometric approximations of classes of (Ψ, β)-differentiable functions of one variable |
| title_fullStr | Bestm-term trigonometric approximations of classes of (Ψ, β)-differentiable functions of one variable |
| title_full_unstemmed | Bestm-term trigonometric approximations of classes of (Ψ, β)-differentiable functions of one variable |
| title_short | Bestm-term trigonometric approximations of classes of (Ψ, β)-differentiable functions of one variable |
| title_sort | bestm-term trigonometric approximations of classes of (ψ, β)-differentiable functions of one variable |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4482 |
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