33 citations · 140 across the 29 of their papers we have counts for
4 papers · 2 filters
Intrinsic metrics defined with arithmetic and logarithmic mean values
Oona Rainio, Rahim Kargar
We introduce several new functions that measure the distance between two points and in a domain by using the arithmetic or the logarithmic mean of…
Lipschitz constants and quadruple symmetrization by Möbius transformations
Oona Rainio, Matti Vuorinen
Due to the invariance properties of cross-ratio, Möbius transformations are often used to map a set of points or other geometric object into a symmetric position to simplify a prob…
Hilbert metric in the unit ball
Oona Rainio, Matti Vuorinen
The Hilbert metric between two points in a bounded convex domain is defined as the logarithm of the cross-ratio of and the intersection points of the Euclidean line…
Inequalities for the generalized point pair function
Oona Rainio
We study a new generalized version of the point pair function defined with a constant . We prove that this function is a quasi-metric for all values of , and compare it t…