Approximation characteristics of the classes $B_{p,θ}^{Ω}$ of periodic functions of many variables

We obtain exact order estimates for the approximation of the classes $B_{p,θ}^{Ω}$ of periodic functions of many variables in the space $L_q$ by using operators of orthogonal projection and linear operators satisfying certain conditions.

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Bibliographic Details
Date:2006
Main Authors: Stasyuk, S. A., Fedunyk, O. V., Стасюк, С. А., Федуник, О. В.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 2006
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3486
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal