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Estimation of the best approximation of periodic functions of two variables by an “angle” in the metric of $L_p$

We obtain upper bounds in terms of Fourier coefficients for the best approximation by an “angle” and for norms in the metric of $L_p$ for functions of two variables defined by trigonometric series with coefficients such that $a_{l_1 l_2} → 0$ as $l_1 + l_2 → ∞$ and $$\mathop \sum \limits_{k_1 = 0}^...

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Bibliographic Details
Date:	2004
Main Authors:	Konopovich, T. O., Конопович, Т. О.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2004
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3834
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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