Asymmetric fractal approximation of functions in the space $L_p^{\alpha ,\beta }(I)$
Sufficient conditions to the sequence of functions that are the result of fractal iterated operator transformation into some function coincided on the segment. We obtained error estimates for fractal approximation, which is analogous to Barnsley theorem about a collage of fractal approximation in th...
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| Дата: | 2015 |
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| Автори та афіліації: |
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| Ключові слова: | keywords |
| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Українська Російська |
| Опубліковано: |
Інститут математики НАН України
2015
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| Онлайн доступ: | https://trim.imath.kiev.ua/index.php/trim/article/view/188 |
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| Назва журналу: | Transactions of Institute of Mathematics of NAS of Ukraine |
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Репозитарії
Transactions of Institute of Mathematics of NAS of Ukraine| Резюме: | Sufficient conditions to the sequence of functions that are the result of fractal iterated operator transformation into some function coincided on the segment. We obtained error estimates for fractal approximation, which is analogous to Barnsley theorem about a collage of fractal approximation in the space of integrable in $ p $ degree functions with asymmetric metric. Super fractal approximation ofsets has been adapted to approximation of functions on $L_p^{\alpha,\beta}(I)$. |
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