On the order of local approximation of functions by trigonometric polynomials that are partial sums of averaging operators
We study the order of polynomial approximations of periodic functions on intervals which are internal with respect to the main interval of periodicity and on which these functions are sufficiently smooth. The estimates obtained contain parameters which characterize the smoothness and alternation of...
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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/5052 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511246512553984 |
|---|---|
| author | Sukhorolskyi, M. A. Сухорольський, М. А. |
| author_facet | Sukhorolskyi, M. A. Сухорольський, М. А. |
| author_sort | Sukhorolskyi, M. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:23:40Z |
| description | We study the order of polynomial approximations of periodic functions on intervals which are internal with respect to the main interval of periodicity and on which these functions are sufficiently smooth. The estimates obtained contain parameters which characterize the smoothness and alternation of signs of nuclear functions and parameters that determine classes of approximated functions. |
| first_indexed | 2026-03-24T03:09:51Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5052 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:09:51Z |
| publishDate | 1997 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/ee/5b4df7705a15b616c3bf126fc18fd6ee.pdf |
| spelling | umjimathkievua-article-50522020-03-18T21:23:40Z On the order of local approximation of functions by trigonometric polynomials that are partial sums of averaging operators Про порядок локального наближення функцій тригонометричними поліномами — частинними сумами операторів усереднення Sukhorolskyi, M. A. Сухорольський, М. А. We study the order of polynomial approximations of periodic functions on intervals which are internal with respect to the main interval of periodicity and on which these functions are sufficiently smooth. The estimates obtained contain parameters which characterize the smoothness and alternation of signs of nuclear functions and parameters that determine classes of approximated functions. Досліджуються порядки поліноміальпих наближень періодичних функцій на проміжках, що є внутрішніми до основного проміжку періодичності і на яких ці функції є достатньо гладкими. Знайдені оцінки містять параметри, що характеризують гладкість і знакозміїшість ядерних функцій, а також парамеїри, що визначають класи апроксимовпих функцій. Institute of Mathematics, NAS of Ukraine 1997-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5052 Ukrains’kyi Matematychnyi Zhurnal; Vol. 49 No. 5 (1997); 706–714 Український математичний журнал; Том 49 № 5 (1997); 706–714 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5052/6801 https://umj.imath.kiev.ua/index.php/umj/article/view/5052/6802 Copyright (c) 1997 Sukhorolskyi M. A. |
| spellingShingle | Sukhorolskyi, M. A. Сухорольський, М. А. On the order of local approximation of functions by trigonometric polynomials that are partial sums of averaging operators |
| title | On the order of local approximation of functions by trigonometric polynomials that are partial sums of averaging operators |
| title_alt | Про порядок локального наближення функцій тригонометричними поліномами — частинними сумами операторів усереднення |
| title_full | On the order of local approximation of functions by trigonometric polynomials that are partial sums of averaging operators |
| title_fullStr | On the order of local approximation of functions by trigonometric polynomials that are partial sums of averaging operators |
| title_full_unstemmed | On the order of local approximation of functions by trigonometric polynomials that are partial sums of averaging operators |
| title_short | On the order of local approximation of functions by trigonometric polynomials that are partial sums of averaging operators |
| title_sort | on the order of local approximation of functions by trigonometric polynomials that are partial sums of averaging operators |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5052 |
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