Estimates for the best bilinear approximations of the classes $B^r_{p,\theta}$ and singular numbers of integral operators

We obtain the exact-order estimates for the best bilinear approximations of the Nikol‘ski–Besov classes $B^r_{p,\theta}$ of periodic functions of several variables. We also find the orders for singular numbers of the integral operators with kernels from the classes $B^r_{p,\theta}$.

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Bibliographic Details
Date:2016
Main Authors: Romanyuk, A. S., Romanyuk, V. S., Романюк, А. С., 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/1917
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal