Journal of Inequalities and Applications
Volume 5 (2000), Issue 1, Pages 53-61
Steffensen pairs and associated inequalities
Department of Mathematics, Eastern Illinois University, Charleston 61920, IL, USA
Received 22 February 1999; Revised 12 April 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.
Let be positive numbers and . It is known that if , , then for any such that , there are numbers among whose sum is bigger than or equal to . We express this statement saying that a pair of functions is a Steffensen pair. In this paper we show how to
find many Steffensen pairs.