ON TWO-SIDED UNIDIRECTIONAL MEAN VALUE INEQUALITY IN A FRÉCHET SMOOTH SPACE
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
ON TWO-SIDED UNIDIRECTIONAL MEAN VALUE INEQUALITY IN A FRÉCHET SMOOTH SPACE
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| Автор |
Khlopin, D. V.
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| Тематика |
SMOOTH BANACH SPACE
FRéCHET SUBDIFFERENTIAL UNIDIRECTIONAL MEAN VALUE INEQUALITY UPPER LIMIT OF CONTINUOUS FUNCTIONS |
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| Описание |
The paper is devoted to a new unidirectional mean value inequality for the Fréchet subdifferential of a continuous function. This mean value inequality finds an intermediate point and localizes its value both from above and from below; for this reason, the inequality is called two-sided. The inequality is considered for a continuous function defined on a Fréchet smooth space. This class of Banach spaces includes the case of a reflexive space and the case of a separable Asplund space. As some application of these inequalities, we give an upper estimate for the Fréchet subdifferential of the upper limit of continuous functions defined on a reflexive space.
This study was funded by the RFBR and DFG (project no. 21-51-12007). |
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| Дата |
2024-02-14T05:20:39Z
2024-02-14T05:20:39Z 2023 |
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| Тип |
Article
Journal article (info:eu-repo/semantics/article) Published version (info:eu-repo/semantics/publishedVersion) |
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| Идентификатор |
Khlopin D. V. ON TWO-SIDED UNIDIRECTIONAL MEAN VALUE INEQUALITY IN A FRÉCHET SMOOTH SPACE / D. V. Khlopin. — Text : electronic // Ural Mathematical Journal. — 2023. — Volume 9. — № 2. — P. 132-140.
2414-3952 https://umjuran.ru/index.php/umj/article/view/681 http://elar.urfu.ru/handle/10995/129423 59690661 10.15826/umj.2023.2.011 |
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| Язык |
en
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| Связанные ресурсы |
Ural Mathematical Journal. 2023. Volume 9. № 2
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| Права |
Creative Commons Attribution License
https://creativecommons.org/licenses/by/4.0/ |
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| Формат |
application/pdf
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