Estimates of the Kolmogorov widths for classes of infinitely differentiable periodic functions

Lower estimates of the Kolmogorov widths are obtained for certain classes of infinitely differentiable periodic functions in the metrics of C and L. For many important cases, these estimates coincide with the values of the best approximations of convolution classes by trigonometric polynomials calcu...

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Bibliographic Details
Date:1997
Main Authors: Serdyuk, A. S., Сердюк, А. С.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 1997
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5176
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal