An Analog of the Jackson Inequality for Coconvex Approximation of Periodic Functions
We prove an analog of the Jackson inequality for a coconvex approximation of continuous periodic functions with the second modulus of continuity and a constant that depends on the location of the points at which a function changes its convexity.
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| Datum: | 2001 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Ukrainisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2001
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4313 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510444426362880 |
|---|---|
| author | Popov, P. A. Попов, П. О. |
| author_facet | Popov, P. A. Попов, П. О. |
| author_sort | Popov, P. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:26:34Z |
| description | We prove an analog of the Jackson inequality for a coconvex approximation of continuous periodic functions with the second modulus of continuity and a constant that depends on the location of the points at which a function changes its convexity. |
| first_indexed | 2026-03-24T02:57:06Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4313 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:57:06Z |
| publishDate | 2001 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/30/8c2fd40308f45e1aa4f08b8563a10230.pdf |
| spelling | umjimathkievua-article-43132020-03-18T20:26:34Z An Analog of the Jackson Inequality for Coconvex Approximation of Periodic Functions Аналог нерівності Джексона для коопуклого наближення періодичних функцій Popov, P. A. Попов, П. О. We prove an analog of the Jackson inequality for a coconvex approximation of continuous periodic functions with the second modulus of continuity and a constant that depends on the location of the points at which a function changes its convexity. Доведено аналог теореми Джексона для коопуклого наближення неперервних періодичних функцій з другим модулем неперервності і константою, яка залежить від розташування точок зміни опуклості функції. Institute of Mathematics, NAS of Ukraine 2001-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4313 Ukrains’kyi Matematychnyi Zhurnal; Vol. 53 No. 7 (2001); 919-928 Український математичний журнал; Том 53 № 7 (2001); 919-928 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4313/5330 https://umj.imath.kiev.ua/index.php/umj/article/view/4313/5331 Copyright (c) 2001 Popov P. A. |
| spellingShingle | Popov, P. A. Попов, П. О. An Analog of the Jackson Inequality for Coconvex Approximation of Periodic Functions |
| title | An Analog of the Jackson Inequality for Coconvex Approximation of Periodic Functions |
| title_alt | Аналог нерівності Джексона для коопуклого наближення періодичних
функцій |
| title_full | An Analog of the Jackson Inequality for Coconvex Approximation of Periodic Functions |
| title_fullStr | An Analog of the Jackson Inequality for Coconvex Approximation of Periodic Functions |
| title_full_unstemmed | An Analog of the Jackson Inequality for Coconvex Approximation of Periodic Functions |
| title_short | An Analog of the Jackson Inequality for Coconvex Approximation of Periodic Functions |
| title_sort | analog of the jackson inequality for coconvex approximation of periodic functions |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4313 |
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