On inequalities of Kolmogorov-Hörmander type for functions bounded on a discrete net
We obtain a strengthened version of the Hörmander inequality for functions ƒ: ℝ → ℝ, in which, instead of ‖ƒ‖∞, we use the least upper bound of the values of f on a discrete set of points.
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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/5090 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511285390606336 |
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| author | Babenko, V. F. Vakarchuk, M. B. Бабенко, В. Ф. Вакарчук, М. Б. Бабенко, В. Ф. Вакарчук, М. Б. |
| author_facet | Babenko, V. F. Vakarchuk, M. B. Бабенко, В. Ф. Вакарчук, М. Б. Бабенко, В. Ф. Вакарчук, М. Б. |
| author_sort | Babenko, V. F. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:24:22Z |
| description | We obtain a strengthened version of the Hörmander inequality for functions ƒ: ℝ → ℝ, in which, instead of ‖ƒ‖∞, we use the least upper bound of the values of f on a discrete set of points. |
| first_indexed | 2026-03-24T03:10:28Z |
| format | Article |
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| id | umjimathkievua-article-5090 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:10:28Z |
| publishDate | 1997 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/97/44caccb9165c863335db8bd5c1d8ef97.pdf |
| spelling | umjimathkievua-article-50902020-03-18T21:24:22Z On inequalities of Kolmogorov-Hörmander type for functions bounded on a discrete net О неравенствах типа Колмогорова — Хермандера для функций, ограниченных па дискретной сетке Babenko, V. F. Vakarchuk, M. B. Бабенко, В. Ф. Вакарчук, М. Б. Бабенко, В. Ф. Вакарчук, М. Б. We obtain a strengthened version of the Hörmander inequality for functions ƒ: ℝ → ℝ, in which, instead of ‖ƒ‖∞, we use the least upper bound of the values of f on a discrete set of points. Одержано посилення нерівності Хермандера для функцій ƒ: ℝ → ℝ, у якому замість ‖ƒ‖∞ використано точну верхню межу значень f на дискретній множині точок. Institute of Mathematics, NAS of Ukraine 1997-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5090 Ukrains’kyi Matematychnyi Zhurnal; Vol. 49 No. 7 (1997); 988–992 Український математичний журнал; Том 49 № 7 (1997); 988–992 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5090/6877 https://umj.imath.kiev.ua/index.php/umj/article/view/5090/6878 Copyright (c) 1997 Babenko V. F.; Vakarchuk M. B. |
| spellingShingle | Babenko, V. F. Vakarchuk, M. B. Бабенко, В. Ф. Вакарчук, М. Б. Бабенко, В. Ф. Вакарчук, М. Б. On inequalities of Kolmogorov-Hörmander type for functions bounded on a discrete net |
| title | On inequalities of Kolmogorov-Hörmander type for functions bounded on a discrete net |
| title_alt | О неравенствах типа Колмогорова — Хермандера
для функций, ограниченных па дискретной сетке |
| title_full | On inequalities of Kolmogorov-Hörmander type for functions bounded on a discrete net |
| title_fullStr | On inequalities of Kolmogorov-Hörmander type for functions bounded on a discrete net |
| title_full_unstemmed | On inequalities of Kolmogorov-Hörmander type for functions bounded on a discrete net |
| title_short | On inequalities of Kolmogorov-Hörmander type for functions bounded on a discrete net |
| title_sort | on inequalities of kolmogorov-hörmander type for functions bounded on a discrete net |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5090 |
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