Order estimates for approximative characteristics of functions from generalized classes of mixed smoothness of the Nikol’skii-Besov type

We obtain the exact order estimates of the approximation classes $S^{\Omega}_{p,\theta}B$ functions of many variables defined on $\mathbb{R}^d$ by using entire functions of exponential type with supported of their Fourier transform on some sets in uniform metric

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Bibliographic Details
Date:2014
Author Affiliations:
  • С. Я. Янченко — Інститут математики НАН України
Keywords:keywords
Main Authors: Yanchenko, S. Ya., Янченко, С. Я.
Format: Article
Language:Ukrainian
Published: Інститут математики НАН України 2014
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/84
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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