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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

Umut Mutlu Ozkan and Hüseyin Yildirim

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

Recommended by Martin J. Bohner

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.