JIPAM

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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