Some remarks on the Cassinian metric
Parisa Hariri, Riku Klen, Matti Vuorinen, Xiaohui Zhang
TL;DR
This paper investigates the relationship between the triangular ratio metric and the Cassinian metric within the unit ball, establishing sharp inequalities that deepen understanding of their geometric properties.
Contribution
It introduces new sharp inequalities connecting the triangular ratio metric and the Cassinian metric in the unit ball, advancing metric comparison techniques.
Findings
Established sharp inequalities between the metrics
Enhanced understanding of metric relationships in the unit ball
Contributed to geometric function theory
Abstract
Some sharp inequalities between the triangular ratio metric and the Cassinian metric are proved in the unit ball.
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