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Inequalities for the geometric-mean distance metric

UDC 514 We study a hyperbolic-type metric $h_{G,c}$ introduced by Dovgoshey, Hariri, and Vuorinen and determine the best constant $c&gt;0$ for which this function $h_{G,c}$ is a metric in specifically chosen $G$.&nbsp;We also present several sharp inequalities between $h_{G,c}$ and o...

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Bibliographic Details
Date:	2025
Main Author:	Rainio, Oona
Format:	Article
Language:	English
Published:	Institute of Mathematics, NAS of Ukraine 2025
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/7787
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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