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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Bibliographic Details
Date:2015
Main Authors: Nazarenko, M. O., Bryazkalo, T. A., Назаренко, М. О., Брязкало, T. A.
Format: Article
Language:Ukrainian
Russian
Published: Інститут математики НАН України 2015
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/188
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Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine