An Analog of the Jackson Inequality for Coconvex Approximation of Periodic Functions

We prove an analog of the Jackson inequality for a coconvex approximation of continuous periodic functions with the second modulus of continuity and a constant that depends on the location of the points at which a function changes its convexity.

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Bibliographic Details
Date:2001
Main Authors: Popov, P. A., Попов, П. О.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 2001
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/4313
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Summary:We prove an analog of the Jackson inequality for a coconvex approximation of continuous periodic functions with the second modulus of continuity and a constant that depends on the location of the points at which a function changes its convexity.