On Inequalities of the Landau–Kolmogorov–Hörmander Type on a Segment and Real Straight Line
We prove inequalities of the Landau–Kolmogorov–Hörmander type for the uniform norms (on some subinterval) of positive and negative parts of intermediate derivatives of functions defined on a finite interval. By using the limit transition, we obtain a new proof or the well-known Hörmander result....
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| Date: | 2000 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
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Institute of Mathematics, NAS of Ukraine
2000
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4571 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510720146276352 |
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| author | Kofanov, V. A. Кофанов, В. А. Кофанов, В. А. |
| author_facet | Kofanov, V. A. Кофанов, В. А. Кофанов, В. А. |
| author_sort | Kofanov, V. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:31:34Z |
| description | We prove inequalities of the Landau–Kolmogorov–Hörmander type for the uniform norms (on some subinterval) of positive and negative parts of intermediate derivatives of functions defined on a finite interval. By using the limit transition, we obtain a new proof or the well-known Hörmander result. |
| first_indexed | 2026-03-24T03:01:29Z |
| format | Article |
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| id | umjimathkievua-article-4571 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:01:29Z |
| publishDate | 2000 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/d4/44e2fa2a15d7ffbd3d33608be65ddbd4.pdf |
| spelling | umjimathkievua-article-45712020-03-18T20:31:34Z On Inequalities of the Landau–Kolmogorov–Hörmander Type on a Segment and Real Straight Line О неравенствах типа Ландау - Колмогорова - Хермандера на отрезке и вещественной прямой Kofanov, V. A. Кофанов, В. А. Кофанов, В. А. We prove inequalities of the Landau–Kolmogorov–Hörmander type for the uniform norms (on some subinterval) of positive and negative parts of intermediate derivatives of functions defined on a finite interval. By using the limit transition, we obtain a new proof or the well-known Hörmander result. Доведено нерівності типу Ландау-Колмогорова-Хермандера для рівномірних норм (на деякому підінтервалі) додатних та від'ємних частин проміжних похідних функцій, що задані на скінченному інтервалі. Граничним переходом одержано нове доведення відомого результату Хермандера. Institute of Mathematics, NAS of Ukraine 2000-12-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4571 Ukrains’kyi Matematychnyi Zhurnal; Vol. 52 No. 12 (2000); 1676-1688 Український математичний журнал; Том 52 № 12 (2000); 1676-1688 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4571/5846 https://umj.imath.kiev.ua/index.php/umj/article/view/4571/5847 Copyright (c) 2000 Kofanov V. A. |
| spellingShingle | Kofanov, V. A. Кофанов, В. А. Кофанов, В. А. On Inequalities of the Landau–Kolmogorov–Hörmander Type on a Segment and Real Straight Line |
| title | On Inequalities of the Landau–Kolmogorov–Hörmander Type on a Segment and Real Straight Line |
| title_alt | О неравенствах типа Ландау - Колмогорова - Хермандера на отрезке и
вещественной прямой |
| title_full | On Inequalities of the Landau–Kolmogorov–Hörmander Type on a Segment and Real Straight Line |
| title_fullStr | On Inequalities of the Landau–Kolmogorov–Hörmander Type on a Segment and Real Straight Line |
| title_full_unstemmed | On Inequalities of the Landau–Kolmogorov–Hörmander Type on a Segment and Real Straight Line |
| title_short | On Inequalities of the Landau–Kolmogorov–Hörmander Type on a Segment and Real Straight Line |
| title_sort | on inequalities of the landau–kolmogorov–hörmander type on a segment and real straight line |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4571 |
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