Approximation of bounded holomorphic and harmonic functions by Fejér means
We compute the exact values of the exact upper bounds on the classes of bounded holomorphic and harmonic functions in a unit disk for the remainders in a Voronovskaya-type formula in the case of approximation by Fej´er means. We also present some consequences that are of independent interest.
Збережено в:
| Дата: | 2019 |
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| Автори: | , , , , , |
| Формат: | Стаття |
| Мова: | Українська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2019
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/1455 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | We compute the exact values of the exact upper bounds on the classes of bounded holomorphic and harmonic functions
in a unit disk for the remainders in a Voronovskaya-type formula in the case of approximation by Fej´er means. We also
present some consequences that are of independent interest. |
|---|