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  Volume 2, Issue 1, Article 5
 
Further Reverse Results for Jensen's Discrete Inequality and Applications in Information Theory

    Authors: Ivan Budimir, Sever S. Dragomir, Josip E. Pecaric,  
    Keywords: Convex functions, Jensen's Inequality, Entropy Mappings  
    Date Received: 12/04/00  
    Date Accepted: 06/10/00  
    Subject Codes:

26D15,94Xxx

 
    Editors: Lars-Erik Persson,  
 
    Abstract:

Some new inequalities which counterpart Jensen's discrete inequality and improve the recent results from [20] and [22] are given. A related result for generalized means is established. Applications in Information Theory are also provided.

[20] S.S. DRAGOMIR, A converse result for Jensen's discrete inequality via Grüss' inequality and applications in information theory
[22] S.S. DRAGOMIR, A converse of the Jensen inequality for convex mappings of several variables and applications

         
       
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