$K$-functionals and extreme problems of the theory of approximation for classes of analytic functions in the circle. I
УДК 517.5 Based on the Hadamard composition in the Hardy, Bergman and Gvaradze Banach spaces of functions analytic in the unit circle, we consider a generalization of the $K$-functional. In solving some extreme problems of the theory of approximation in the complex plane, we obtain cert...
Збережено в:
| Дата: | 2022 |
|---|---|
| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Українська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2022
|
| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/6980 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | УДК 517.5
Based on the Hadamard composition in the Hardy, Bergman and Gvaradze Banach spaces of functions analytic in the unit circle, we consider a generalization of the $K$-functional. In solving some extreme problems of the theory of approximation in the complex plane, we obtain certain exact results in the case where the indicated $K$-functional is used as a  characteristic of smoothness.  |
|---|---|
| DOI: | 10.37863/umzh.v74i4.6980 |