Estimates of the orthogonal widths of the classes $B^{\Omega}_{\infty,\theta}$ of periodic functions of many variables with given majorant of the mixed moduli of continuity

We obtain exact order estimates of approximation of classes $B^{\Omega}_{\infty,\theta}$ of periodic functions of several variables in the space $L_q$ by using operators of orthogonal projection as well as linear operators subjected to someconditions.

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Bibliographic Details
Date:2015
Main Authors: Konograi, A. F., Fedunyk-Yaremchuk, O. V., Конограй, А. Ф., Федуник-Яремчук, О. В.
Format: Article
Language:Ukrainian
Published: Інститут математики НАН України 2015
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/294
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Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine