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  Volume 5, Issue 1, Article 15
 
A Generalization Of An Inequality Of Jia And Cau
    Authors: Edward Neuman,  
    Keywords: Means of two variables; Inequalities  
    Date Received: 13/01/04  
    Date Accepted: 10/02/04  
    Subject Codes:

26D15

  
    Editors: Jozsef Sandor,  
 
    Abstract:

Let $ L$, $ H_r$, and $ A_s$ stand for the logarithmic mean, the Heronian mean of order $ r$, and the power mean of order $ s$, of two positive variables. A generalization of the inequality

$\displaystyle L \le H_r \le A_s$    
$ (1/2 \le r \le 3s/2)$, of G. Jia and J. Cao ([3]), is obtained.

         
       
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