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Widths and best approximations for classes of convolutions of periodic functions

We establish exact lower bounds for the Kolmogorov widths in the metrics ofC andL for classes of functions with high smoothness; the elements of these classes are sourcewise-representable as convolutions with generating kernels that can increase oscillations. We calculate the exact values of the bes...

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Bibliographic Details
Date:	1999
Main Authors:	Serdyuk, A. S., Сердюк, А. С.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 1999
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4653
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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