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Estimation of the rate of decrease (vanishing) of a function in terms of relative oscillations

The relative mean integral oscillations of a nondecreasing equimeasurable rearrangement are estimated from above via the same oscillations of the original function. On the basis of this estimate, we establish a lower order-exact estimate for the rate of decrease (vanishing) of the rearrangement.

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Bibliographic Details
Date:	2019
Main Authors:	Korenovskii, A. A., Кореновский, А. А.
Format:	Article
Language:	Russian
Published:	Institute of Mathematics, NAS of Ukraine 2019
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/1435
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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