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Approximation of Functions from the Isotropic Nikol’skii–Besov Classes in the Uniform and Integral Metrics

We obtain the exact-order estimations for the approximation of the isotropic Nikol’skii–Besov classes of functions of several variables by the de la Vallée-Poussin-type sums in metrics of the spaces $L_{∞}(ℝ^d)$ and $L_1(ℝ^d)$.

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Bibliographic Details
Date:	2015
Main Authors:	Yanchenko, S. Ya., Янченко, С. Я.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2015
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/2077
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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