Mathematical Problems in Engineering
Volume 2008 (2008), Article ID 673275, 8 pages
Research Article

On the Plane Geometry with Generalized Absolute Value Metric

A. Bayar, S. Ekmekçi, and Z. Akça

Department of Mathematics, Eskişehir Osmangazi University, 26480 Eskişehir, Turkey

Received 7 March 2008; Revised 5 June 2008; Accepted 1 July 2008

Academic Editor: Mehrdad Massoudi

Copyright © 2008 A. Bayar et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Metric spaces are among the most important widely studied topics in mathematics. In recent years, Mathematicians began to investigate using other metrics different from Euclidean metric. These metrics also find their place computer age in addition to their importance in geometry. In this paper, we consider the plane geometry with the generalized absolute value metric and define trigonometric functions and norm and then give a plane tiling example for engineers underlying Schwarz's inequality in this plane.