Journal of Inequalities and Applications
Volume 5 (2000), Issue 5, Pages 505-513
doi:10.1155/S1025583400000291
On a further generalization of Steffensen’s inequality
Department of Mathematics, Eastern Illinois University, 600 Lincoln Avenue, Charleston 61920-3099, IL, USA
Received 29 July 1999; Revised 3 September 1999
Copyright © 2000 Hillel Gauchman. 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
Pečarić (J. Math. Anal. Appl., 104 (1984), 432–434) proved two theorems generalizing Steffensen’s inequality. We extend Pečarić’s results to the case of integrals over a general measure spaces. Some applications are also given.