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Generalizations of the Ky Fan Inequality  
 
  Authors: Ai-Jun Li, Xue-Min Wang, Chao-Ping Chen,  
  Keywords: Generalized logarithmic mean, Monotonicity, Ky Fan inequality.  
  Date Received: 25/11/05  
  Date Accepted: 06/10/06  
  Subject Codes:

26A48, 26D20.

  
  Editors: Doru Stefanescu,  
 
  Abstract:

In this paper, we extend the Ky Fan inequality to several general integral forms, and obtain the monotonic properties of the function $ frac{L_{s}(a, b)}{L_{s}(alpha-a, alpha-b)}$ with $ alpha,a,bin(0,+infty)$ and $ sinmathbb{R}$.;


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