A1 Refereed original research article in a scientific journal

Intrinsic Quasi-Metrics



Authors: Rainio Oona

Publisher: MALAYSIAN MATHEMATICAL SCIENCES SOC

Publication year: 2021

Journal: Bulletin of the Malaysian Mathematical Sciences Society

Journal name in source: BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY

Journal acronym: B MALAYS MATH SCI SO

Volume: 44

First page : 2873

Last page: 2891

Number of pages: 19

ISSN: 0126-6705

eISSN: 2180-4206

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

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

Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/53425316


Abstract
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.

Downloadable publication

This is an electronic reprint of the original article.
This reprint may differ from the original in pagination and typographic detail. Please cite the original version.


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