On additive inequalities for intermediate derivatives of functions given on a finite interval
We present a general scheme for deducing additive inequalities of Landau-Hadamard type. As a consequence, we prove several new inequalities for the norms of intermediate derivatives of functions given on a finite interval with an exact constant with the norm of a function.
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| Date: | 1997 |
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| Main Authors: | , , , , , |
| Format: | Article |
| Language: | Russian English |
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Institute of Mathematics, NAS of Ukraine
1997
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5042 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511238529744896 |
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| author | Babenko, V. F. Kofanov, V. A. Pichugov, S. A. Бабенко, В. Ф. Кофанов, В. А. Пичугов, С. А. Бабенко, В. Ф. Кофанов, В. А. Пичугов, С. А. |
| author_facet | Babenko, V. F. Kofanov, V. A. Pichugov, S. A. Бабенко, В. Ф. Кофанов, В. А. Пичугов, С. А. Бабенко, В. Ф. Кофанов, В. А. Пичугов, С. А. |
| author_sort | Babenko, V. F. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:23:40Z |
| description | We present a general scheme for deducing additive inequalities of Landau-Hadamard type. As a consequence, we prove several new inequalities for the norms of intermediate derivatives of functions given on a finite interval with an exact constant with the norm of a function. |
| first_indexed | 2026-03-24T03:09:43Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5042 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:09:43Z |
| publishDate | 1997 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/99/339e70bf3baef01d7c9e8d6bf2bdd899.pdf |
| spelling | umjimathkievua-article-50422020-03-18T21:23:40Z On additive inequalities for intermediate derivatives of functions given on a finite interval Об аддитивныхх неравенствахх для промежуточных производных функций, заданных на конечном интервале Babenko, V. F. Kofanov, V. A. Pichugov, S. A. Бабенко, В. Ф. Кофанов, В. А. Пичугов, С. А. Бабенко, В. Ф. Кофанов, В. А. Пичугов, С. А. We present a general scheme for deducing additive inequalities of Landau-Hadamard type. As a consequence, we prove several new inequalities for the norms of intermediate derivatives of functions given on a finite interval with an exact constant with the norm of a function. Наведено загальну схему одержання адитивних нерівностей типу Ландау-Адамара і як наслідок доведено ряд конкретних нових нерівностей для норм проміжних похідних функцій, заданих на скінченному інтервалі, з точною константою при'нормі функції. Institute of Mathematics, NAS of Ukraine 1997-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5042 Ukrains’kyi Matematychnyi Zhurnal; Vol. 49 No. 5 (1997); 619–628 Український математичний журнал; Том 49 № 5 (1997); 619–628 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5042/6781 https://umj.imath.kiev.ua/index.php/umj/article/view/5042/6782 Copyright (c) 1997 Babenko V. F.; Kofanov V. A.; Pichugov S. A. |
| spellingShingle | Babenko, V. F. Kofanov, V. A. Pichugov, S. A. Бабенко, В. Ф. Кофанов, В. А. Пичугов, С. А. Бабенко, В. Ф. Кофанов, В. А. Пичугов, С. А. On additive inequalities for intermediate derivatives of functions given on a finite interval |
| title | On additive inequalities for intermediate derivatives of functions given on a finite interval |
| title_alt | Об аддитивныхх неравенствахх для промежуточных производных функций, заданных на конечном интервале |
| title_full | On additive inequalities for intermediate derivatives of functions given on a finite interval |
| title_fullStr | On additive inequalities for intermediate derivatives of functions given on a finite interval |
| title_full_unstemmed | On additive inequalities for intermediate derivatives of functions given on a finite interval |
| title_short | On additive inequalities for intermediate derivatives of functions given on a finite interval |
| title_sort | on additive inequalities for intermediate derivatives of functions given on a finite interval |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5042 |
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