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  Volume 7, Issue 5, Article 184
 
Convex Functions and Inequalities for Integrals

    Authors: Zhenglu Jiang, Xiaoyong Fu, Hongjiong Tian,  
    Keywords: Convex functions; Measure spaces; Lebesgue integrals; Banach spaces.  
    Date Received: 04/06/05  
    Date Accepted: 01/12/06  
    Subject Codes:

Primary 26D15.

 
    Editors: Sever S. Dragomir,  
 
    Abstract:

In this paper we present inequalities for integrals of functions that are the composition of nonnegative convex functions on an open convex set of a vector space $ mathbb{R}^m$ and vector-valued functions in a weakly compact subset of a Banach vector space generated by $ m$ $ L_mu^p$-spaces for

         
       
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