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...
Saved in:
| Date: | 2015 |
|---|---|
| Author Affiliations: |
|
| Keywords: | keywords |
| Main Authors: | , , , |
| Format: | Article |
| Language: | Ukrainian Russian |
| Published: |
Інститут математики НАН України
2015
|
| Online Access: | https://trim.imath.kiev.ua/index.php/trim/article/view/188 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Transactions of Institute of Mathematics of NAS of Ukraine |
| Download file: |
|
Institution
Transactions of Institute of Mathematics of NAS of Ukraine| Summary: | 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 $L_p^{\alpha,\beta}(I)$. |
|---|