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Multiple Haar basis and $m$-term approximations of functions from the Besov classes. II

We establish the exact-order estimates for the best $m$-term approximations in the multiple Haar basis $\mathrm{H}^d$ of functions from the Besov classes in the Lebesgue spaces $L_q(I^d)$. We also present a practical algorithm of the construction of the extreme nonlinear m-term aggregates (in a sens...

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Bibliographic Details
Date:	2016
Main Authors:	Romanyuk, V. S., Романюк, В. С.
Format:	Article
Language:	Russian
Published:	Institute of Mathematics, NAS of Ukraine 2016
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/1880
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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