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Inequalities for the Fractional Derivatives of Trigonometric Polynomials in Spaces with Integral Metrics

We establish necessary and sufficient conditions for the validity of Bernstein-type inequalities for the fractional derivatives of trigonometric polynomials of several variables in spaces with integral metrics. The problem of sharpness of these inequalities is investigated.

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Bibliographic Details
Date:	2015
Main Authors:	Kolomoitsev, Yu. S., Коломойцев, Ю. С.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2015
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/1962
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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