SOME INEQUALITIES BETWEEN THE BEST SIMULTANEOUS APPROXIMATION AND THE MODULUS OF CONTINUITY IN A WEIGHTED BERGMAN SPACE
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
SOME INEQUALITIES BETWEEN THE BEST SIMULTANEOUS APPROXIMATION AND THE MODULUS OF CONTINUITY IN A WEIGHTED BERGMAN SPACE
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| Автор |
Saidusainov, M. S.
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| Тематика |
THE BEST SIMULTANEOUS APPROXIMATION
MODULUS OF CONTINUITY UPPER BOUND N-WIDTHS |
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| Описание |
Some inequalities between the best simultaneous approximation of functions and their intermediate derivatives, and the modulus of continuity in a weighted Bergman space are obtained. When the weight function is γ(ρ) = ρα, α > 0, some sharp inequalities between the best simultaneous approximation and an mth order modulus of continuity averaged with the given weight are proved. For a specific class of functions, the upper bound of the best simultaneous approximation in the space B2,γ1, γ1(ρ) = ρα, α > 0, is found. Exact values of several n-widths are calculated for the classes of functions Wp(r)(ωm,q).
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| Дата |
2024-02-14T05:20:42Z
2024-02-14T05:20:42Z 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 |
Saidusainov M. S. SOME INEQUALITIES BETWEEN THE BEST SIMULTANEOUS APPROXIMATION AND THE MODULUS OF CONTINUITY IN A WEIGHTED BERGMAN SPACE / M. S. Saidusainov. — Text : electronic // Ural Mathematical Journal. — 2023. — Volume 9. — № 2. — P. 165-174.
2414-3952 https://umjuran.ru/index.php/umj/article/view/647 http://elar.urfu.ru/handle/10995/129426 59690666 10.15826/umj.2023.2.014 |
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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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