Skoči na glavni sadržaj

Izvorni znanstveni članak

A generalization of some well-known distances and related isometries

Harun Bariş Çolakoğlu orcid id orcid.org/0000-0001-5559-9768 ; Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences,Eskişehir Osmangazi University, Eskişehir, Türkiye
Rüstem Kaya


Puni tekst: engleski pdf 877 Kb

str. 21-35

preuzimanja: 880

citiraj


Sažetak

In this paper, we define a family of distance functions in the
real plane, m-distance function, which includes the
taxicab, Chinese checker, maximum, and alpha distance functions as
special cases, and we show that the m-distance function
determines a metric. Then we give some properties of the
m-distance, and determine isometries of the plane with
respect to the m-distance. Finally, we extend the
m-distance function to three and n-dimensional spaces, and
show that each extended distance function determines a metric. We
also give some properties of the m -distance in three-dimensional space.
\end{abstract}

Ključne riječi

metric; m-distance; taxicab distance; Chinese checker distance; maximum distance; alpha distance; minimum distance set; isometry

Hrčak ID:

68613

URI

https://hrcak.srce.hr/68613

Datum izdavanja:

10.6.2011.

Posjeta: 1.632 *