JIPAM

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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