Balls in the triangular ratio metric
Metric Geometry
2016-05-30 v3
Abstract
We consider the triangular ratio metric and estimate the radius of convexity for balls in some special domains and prove the inclusion relations of metric balls defined by the triangular ratio metric, the quasihyperbolic metric and the -metric.
Keywords
Cite
@article{arxiv.1212.2331,
title = {Balls in the triangular ratio metric},
author = {Sami Hokuni and Riku Klén and Yaxiang Li and Matti Vuorinen},
journal= {arXiv preprint arXiv:1212.2331},
year = {2016}
}
Comments
21 pages, 9 figures