On the connection between certain inequalities of the Kolmogorov type for periodic and nonperiodic functions
We obtain nonperiodic analogs of the known inequalities that estimateL p -norms of intermediate derivatives of a periodic function in terms of itsL ∞-norms and higher derivative.
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| Date: | 1999 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1999
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4594 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510745213534208 |
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| author | Babenko, V. F. Selivanova, S. A. Бабенко, В. Ф. Селиванова, С. А. Бабенко, В. Ф. Селиванова, С. А. |
| author_facet | Babenko, V. F. Selivanova, S. A. Бабенко, В. Ф. Селиванова, С. А. Бабенко, В. Ф. Селиванова, С. А. |
| author_sort | Babenko, V. F. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:09:38Z |
| description | We obtain nonperiodic analogs of the known inequalities that estimateL p -norms of intermediate derivatives of a periodic function in terms of itsL ∞-norms and higher derivative. |
| first_indexed | 2026-03-24T03:01:53Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4594 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:01:53Z |
| publishDate | 1999 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/3c/ecbe137f261f3d985d143985bf0c8a3c.pdf |
| spelling | umjimathkievua-article-45942020-03-18T21:09:38Z On the connection between certain inequalities of the Kolmogorov type for periodic and nonperiodic functions О связи между некоторыми неравенствами типа Колмогорова для периодических и непериодических функций Babenko, V. F. Selivanova, S. A. Бабенко, В. Ф. Селиванова, С. А. Бабенко, В. Ф. Селиванова, С. А. We obtain nonperiodic analogs of the known inequalities that estimateL p -norms of intermediate derivatives of a periodic function in terms of itsL ∞-norms and higher derivative. Одержані неперіодичні аналоги відомих нерівностей, які оцінюють $L_p$ -норми проміжних похідних періодичної функції за допомогою $L_{∞}$ -норм цієї функції та її старшої похідної. Institute of Mathematics, NAS of Ukraine 1999-02-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4594 Ukrains’kyi Matematychnyi Zhurnal; Vol. 51 No. 2 (1999); 147–157 Український математичний журнал; Том 51 № 2 (1999); 147–157 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4594/5892 https://umj.imath.kiev.ua/index.php/umj/article/view/4594/5893 Copyright (c) 1999 Babenko V. F.; Selivanova S. A. |
| spellingShingle | Babenko, V. F. Selivanova, S. A. Бабенко, В. Ф. Селиванова, С. А. Бабенко, В. Ф. Селиванова, С. А. On the connection between certain inequalities of the Kolmogorov type for periodic and nonperiodic functions |
| title | On the connection between certain inequalities of the Kolmogorov type for periodic and nonperiodic functions |
| title_alt | О связи между некоторыми неравенствами типа Колмогорова для периодических и непериодических функций |
| title_full | On the connection between certain inequalities of the Kolmogorov type for periodic and nonperiodic functions |
| title_fullStr | On the connection between certain inequalities of the Kolmogorov type for periodic and nonperiodic functions |
| title_full_unstemmed | On the connection between certain inequalities of the Kolmogorov type for periodic and nonperiodic functions |
| title_short | On the connection between certain inequalities of the Kolmogorov type for periodic and nonperiodic functions |
| title_sort | on the connection between certain inequalities of the kolmogorov type for periodic and nonperiodic functions |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4594 |
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