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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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