Inequalities for trigonometric polynomials in spaces with integral metric

In the spaces $L_{\psi}(T)$ of periodic functions with metric $\rho( f , 0)_{\psi} = \int_T \psi (| f (x) |) dx $, where $\psi$ is a function of the modulus-of-continuity type, we investigate analogs of the classic Bernstein inequalities for the norms of derivatives and increments of trigonometric p...

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Bibliographic Details
Date:2011
Main Authors: Pichugov, S. A., Пичугов, С. А.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2011
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2832
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal