Abstract and Applied Analysis
Volume 2011 (2011), Article ID 805948, 14 pages
http://dx.doi.org/10.1155/2011/805948
Research Article

Forward Curvatures on Time Scales

M. S. Seyyidoglu, Y. Tunçer, D. Uçar, M. K. Berktaş, and V. F. Hatipoğlu

Department of Mathematics, Faculty of Arts and Sciences, Usak University, 1 Eylul Campus, 64200, Usak, Turkey

Received 14 December 2010; Accepted 31 March 2011

Academic Editor: Nobuyuki Kenmochi

Copyright © 2011 M. S. Seyyidoglu 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.

Abstract

We also introduce forward curvature of a curve and give some formulas to calculate forward curvature of a curve on time scales which may be an arbitrary closed subsets of the set of all real numbers. We also introduce the length of a curve parametrized by a time scale parameter in ℝ 3 .