Direct and inverse theorems on approximation of functions defined on a sphere in the space S (p,q)(σ m)
We prove direct and inverse theorems on the approximation of functions defined on a sphere in the space S (p,q)(σ m), m > 3, in terms of the best approximations and modules of continuity. We consider constructive characteristics of functional classes defined by majorants of mo...
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| Дата: | 2007 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2007
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/3355 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | We prove direct and inverse theorems on the approximation of functions defined on a sphere in the space S (p,q)(σ m), m > 3, in terms of the best approximations and modules of continuity.
We consider constructive characteristics of functional classes defined by majorants of modules of continuity of their elements. |
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