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 $c>0$ for which this function $h_{G,c}$ is a metric in specifically chosen $G$. 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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Ukrains’kyi Matematychnyi Zhurnal