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On a Jackson-Type Inequality in the Approximation of a Function by Linear Summation Methods in the Space $L_2$

We prove a statement on exact inequalities between the deviations of functions from their linear methods (in the metric of $L_2$) with multipliers defined by a continuous function and majorants determined as the scalar product of the squared modulus of continuity (of order r) in $L_2$ for the lth de...

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Bibliographic Details
Date:	2003
Main Authors:	Bozhukha, L. N., Божуха, Л. Н.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2003
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3927
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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