Asymptotic estimates for the best trigonometric and bilinear approximations of classes of functions of several variables

We obtain exact order estimates for the best $M$-term trigonometric approximations of the Besov classes $B_{∞,θ}^r$ in the space $L_q$. We also determine the exact orders of the best bilinear approximations of the classes of functions of $2d$ variables generated by functions of d variables from the...

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Bibliographic Details
Date:2010
Main Authors: Romanyuk, A. S., Romanyuk, V. S., Романюк, А. С., Романюк, В. С.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2010
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2886
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal