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  Volume 1, Issue 1, Article 3
 
A Steffensen Type Inequality

    Authors: Hillel Gauchman,  
    Keywords: Steffensen inequality, upper-separating subsets.  
    Date Received: 26/10/99  
    Date Accepted: 07/12/99  
    Subject Codes:

26D15

 
    Editors: Don B. Hinton,  
 
    Abstract:

Steffensen’s inequality deals with the comparison between integrals over a whole interval [a, b] and integrals over a subset of [a, b]. In this paper we prove an inequality which is similar to Steffensen’s inequality. The most general form of this inequality deals with integrals over a measure space. We also consider the discrete case.

         
       
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