Journal of Inequalities and Applications
Volume 2007 (2007), Article ID 46524, 10 pages
doi:10.1155/2007/46524
Research Article
Steffensen's Integral Inequality on Time Scales
Department of Mathematics, Faculty of Science and Arts, Kocatepe University, Afyon 03200, Turkey
Received 9 May 2007; Revised 13 June 2007; Accepted 29 June 2007
Academic Editor: Martin J. Bohner
Copyright © 2007 Umut Mutlu Ozkan and Hüseyin Yildirim. 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 establish generalizations of Steffensen's
integral inequality on time scales via the diamond-α dynamic integral, which is defined as a linear combination of the
delta and nabla integrals.