A1 Refereed original research article in a scientific journal

Inclusion Properties of the Triangular Ratio Metric Balls



Authors: Rainio Oona

Publisher: Springer

Publication year: 2023

Journal: Bulletin of the Iranian Mathematical Society

Journal name in source: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY

Article number:  91

Volume: 49

Issue: 6

eISSN: 1735-8515

DOI: https://doi.org/10.1007/s41980-023-00837-w

Web address : https://link.springer.com/article/10.1007/s41980-023-00837-w

Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/182332896


Abstract

Inclusion properties are studied for balls of the triangular ratio metric, the hyperbolic metric, the j∗-metric, and the distance ratio metric defined in the unit ball domain. Several sharp results are proven and a conjecture about the relation between triangular ratio metric balls and hyperbolic balls is given. An algorithm is also built for drawing triangular ratio circles or three-dimensional spheres.


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Last updated on 2024-26-11 at 18:38