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Trigonometric Approximations and Kolmogorov Widths of Anisotropic Besov Classes of Periodic Functions of Several Variables

We describe the Besov anisotropic spaces of periodic functions of several variables in terms of the decomposition representation and establish the exact-order estimates of the Kolmogorov widths and trigonometric approximations of functions from unit balls of these spaces in the spaces L q .

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Bibliographic Details
Date:	2014
Main Authors:	Myronyuk, V. V., Миронюк, В. В.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2014
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/2203
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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