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Approximation by fourier sums and best approximations on classes of analytic functions

We establish asymptotic equalities for upper bounds of approximations by Fourier sums and for the best approximations in the metrics of C and L1 on classes of convolutions of periodic functions that can be regularly extended into a fixed strip of the complex plane.

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Bibliographic Details
Date:	2000
Main Authors:	Serdyuk, A. S., Stepanets, O. I., Сердюк, А. С., Степанец, А. И.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2000
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4428
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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