On a further generalization of Steffensen's inequality

Journal of Inequalities and Applications

Volumn 5, Issue 5, 2000, Pages 505-513

  Gauchman, Hillel ^a  

^a EASTERN ILLINOIS UNIVERSITY   (United States)

Author keywords

Continuous measure space; Jensen's inequality; Separating subsets; Steffensen's inequality

Indexed keywords

EID: 34548860523     PISSN: 10255834     EISSN: 1029242X     Source Type: Journal    
DOI: 10.1155/S1025583400000291     Document Type: Article

References (5)

1. J.-C. Evard and H. Gauchman, Steffensen type inequalities over general measure spaces, Analysis, 17(1997), 301-322.
2. P. Halmos, Measure Theory, Springer-Verlag, New York, 1974.
3. J. P. Pec̊arić, On the Bellman generalization of Steffensen's inequality, II, J. Math. Anal. Appl., 104(1984), 432-434.
4. J. P. Pec̊arić, F. Proschan and Y. L. Tong, Convex Functions, Partial Orderings, and Statistical Applications, Academic Press, 1992.
5. J. F. Steffensen, On certain inequalities between mean values, and their applications to actuarial problems, Skand. Aktuarietids (1918), 82-97.