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Kolmogorov widths and bilinear approximations of the classes of periodic functions of one and many variables

We obtain the exact order estimates for the Kolmogorov widths of the classes $W^g_p$ of periodic functions of one variable generated by the integral operators with kernels $g(x, y)$ from the Nikol’skii – Besov classes $B^r_{p,\theta}$. We also study the behavior of bilinear approximations to the cla...

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Bibliographic Details
Date:	2018
Main Authors:	Romanyuk, A. S., Романюк, А. С.
Format:	Article
Language:	Ukrainian
Published:	Institute of Mathematics, NAS of Ukraine 2018
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/1553
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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