Approximation of measurable periodic functions in measure by step functions
For spaces defined by a function $ϕ$ of the type of modulus of continuity, we prove direct and inverse Jackson theorems for the approximation by step functions with uniform partition.
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| Date: | 1996 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1996
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5305 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511523406872576 |
|---|---|
| author | Pichugov, S. A. Пичугов, С. А. Пичугов, С. А. |
| author_facet | Pichugov, S. A. Пичугов, С. А. Пичугов, С. А. |
| author_sort | Pichugov, S. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:29:48Z |
| description | For spaces defined by a function $ϕ$ of the type of modulus of continuity, we prove direct and inverse Jackson theorems for the approximation by step functions with uniform partition. |
| first_indexed | 2026-03-24T03:14:15Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5305 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:14:15Z |
| publishDate | 1996 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/0d/572203e4933c992380ab0c5230d8110d.pdf |
| spelling | umjimathkievua-article-53052020-03-18T21:29:48Z Approximation of measurable periodic functions in measure by step functions Аппроксимация измеримых периодических функций по мере кусочно-постоянными функциями Pichugov, S. A. Пичугов, С. А. Пичугов, С. А. For spaces defined by a function $ϕ$ of the type of modulus of continuity, we prove direct and inverse Jackson theorems for the approximation by step functions with uniform partition. Для просторів, визначених функцією $ϕ$ типу модуля неперервності, доведені прямі та обернені теореми Джексона для апроксимації кусково-сталими функціями за рівномірним розбиттям. Institute of Mathematics, NAS of Ukraine 1996-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5305 Ukrains’kyi Matematychnyi Zhurnal; Vol. 48 No. 5 (1996); 711-715 Український математичний журнал; Том 48 № 5 (1996); 711-715 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5305/7302 https://umj.imath.kiev.ua/index.php/umj/article/view/5305/7303 Copyright (c) 1996 Pichugov S. A. |
| spellingShingle | Pichugov, S. A. Пичугов, С. А. Пичугов, С. А. Approximation of measurable periodic functions in measure by step functions |
| title | Approximation of measurable periodic functions in measure by step functions |
| title_alt | Аппроксимация измеримых периодических функций по мере кусочно-постоянными функциями |
| title_full | Approximation of measurable periodic functions in measure by step functions |
| title_fullStr | Approximation of measurable periodic functions in measure by step functions |
| title_full_unstemmed | Approximation of measurable periodic functions in measure by step functions |
| title_short | Approximation of measurable periodic functions in measure by step functions |
| title_sort | approximation of measurable periodic functions in measure by step functions |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5305 |
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