Inequalities for the geometric-mean distance metric
Year: 2024
Type: article
Abstract: 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 other hyperbolic-type metrics and offer several results obtained for the ball inclusion.
Author: Oona Rainio
Institution: University of Turku
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4404082485