Inverse theorems on approximation of periodic functions
We obtain new inverse theorems on the approximation of periodic functions $f(·)$ that establish conditions for the existence of their $(ψ, β)$-derivatives. These theorems also guarantee a certain smoothness of these derivatives.
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| Date: | 1995 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1995
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5527 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511757271826432 |
|---|---|
| author | Stepanets, O. I. Степанец, А. И. Степанец, А. И. |
| author_facet | Stepanets, O. I. Степанец, А. И. Степанец, А. И. |
| author_sort | Stepanets, O. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:12:37Z |
| description | We obtain new inverse theorems on the approximation of periodic functions $f(·)$ that establish conditions for the existence of their $(ψ, β)$-derivatives. These theorems also guarantee a certain smoothness of these derivatives. |
| first_indexed | 2026-03-24T03:17:58Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5527 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:17:58Z |
| publishDate | 1995 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/26/4608575f22505389e4af05abaddd1926.pdf |
| spelling | umjimathkievua-article-55272020-03-19T09:12:37Z Inverse theorems on approximation of periodic functions Обратные теоремы приближения периодических функций Stepanets, O. I. Степанец, А. И. Степанец, А. И. We obtain new inverse theorems on the approximation of periodic functions $f(·)$ that establish conditions for the existence of their $(ψ, β)$-derivatives. These theorems also guarantee a certain smoothness of these derivatives. Одержано нові обернені теореми наближення періодичних функцій $f(·)$ що встановлюють умови існування їх $(ψ, β)$-похідиих, які, до того ж, гарантують певну гладкість цих похідних. Institute of Mathematics, NAS of Ukraine 1995-09-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5527 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 9 (1995); 1266–1273 Український математичний журнал; Том 47 № 9 (1995); 1266–1273 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5527/7742 https://umj.imath.kiev.ua/index.php/umj/article/view/5527/7743 Copyright (c) 1995 Stepanets O. I. |
| spellingShingle | Stepanets, O. I. Степанец, А. И. Степанец, А. И. Inverse theorems on approximation of periodic functions |
| title | Inverse theorems on approximation of periodic functions |
| title_alt | Обратные теоремы приближения периодических функций |
| title_full | Inverse theorems on approximation of periodic functions |
| title_fullStr | Inverse theorems on approximation of periodic functions |
| title_full_unstemmed | Inverse theorems on approximation of periodic functions |
| title_short | Inverse theorems on approximation of periodic functions |
| title_sort | inverse theorems on approximation of periodic functions |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5527 |
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