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

Hillel Gauchman

Department of Mathematics, Eastern Illinois University, 600 Lincoln Avenue, Charleston 61920-3099, IL, USA

Received 29 July 1999; Revised 3 September 1999

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.