Reverse inequalities for geometric and power means

We establish exact bounds for the positive and negative exponents of summability of the power mean of a function in the case where this mean satisfies the reverse Jensen inequality.

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Bibliographic Details
Date:2012
Main Authors: Korenovskii, A. A., Кореновский, А. А.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2012
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2603
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal