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  Volume 10, Issue 1, Article 21
 
On Some Inequalities With Power-Exponential Functions

    Authors: Vasile Cirtoaje,  
    Keywords: Power-exponential function, Convex function, Bernoulli's inequality, Conjecture.  
    Date Received: 13/10/08  
    Date Accepted: 09/01/09  
    Subject Codes:

26D10.

 
    Editors: Feng Qi,  
 
    Abstract:

In this paper, we prove the open inequality $ a^{ea}+b^{eb} ge a^{eb}+b^{ea}$ for either $ age bge frac 1{e}$ or $ frac 1{e}ge a ge b>0$. In addition, other related results and conjectures are presented.

         
       
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