Intrinsic Quasi-Metrics



: Rainio Oona

Publisher: MALAYSIAN MATHEMATICAL SCIENCES SOC

: 2021

: Bulletin of the Malaysian Mathematical Sciences Society

: BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY

: B MALAYS MATH SCI SO

: 44

: 2873

: 2891

: 19

: 0126-6705

: 2180-4206

DOI: https://doi.org/10.1007/s40840-021-01089-9

: https://doi.org/10.1007/s40840-021-01089-9

: https://research.utu.fi/converis/portal/detail/Publication/53425316


The point pair function p(G) defined in a domain G not subset of R-n is shown to be a quasimetric, and its other properties are studied. For a convex domain G not subset of R-n, a new intrinsic quasi-metric called the function wG is introduced. Several sharp results are established for these two quasi-metrics, and their connection to the triangular ratio metric is studied.

Last updated on 2024-26-11 at 19:29