45 citations · 134 across the 6 of their papers we have counts for
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math.MG2015
Local convexity of metric balls
Parisa Hariri, Riku Klén, Matti Vuorinen
We study local convexity properties of the triangular ratio metric balls in proper subdomains of the real coordinate space. We also study inclusion properties of the visual angle m…
math.MG2015★ 20 cited
Comparison theorems for hyperbolic type metrics
Oleksiy Dovgoshey, Parisa Hariri, Matti Vuorinen
The connection between several hyperbolic type metrics is studied in subdomains of the Euclidean space. In particular, a new metric is introduced and compared to the distance ratio…
math.MG2015★ 18 cited
Some remarks on the Cassinian metric
Parisa Hariri, Riku Klen, Matti Vuorinen +1
Some sharp inequalities between the triangular ratio metric and the Cassinian metric are proved in the unit ball.