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 other hyperbolic-type metrics and offer several results obtained for the ball inclusion.
Authors
- Oona Rainio (ORCID: https://orcid.org/0000-0002-7775-7656)
Institutions
- University of Turku (FI)
Publication Details
- Journal
- Ukrains’kyi Matematychnyi Zhurnal
- Published
- 2024-11-05
- DOI
- https://doi.org/10.3842/umzh.v76i10.7787
- Primary Topic
- Analytic and geometric function theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00