a^{b+c} + b^{c+a} + c^{a+b} ≤ 1

 
 
If   a, \; b, \; c   are positive real numbers such that   a \, b \, c \; = \; 1 ,

prove that

a^{b+c} \; + \; b^{c+a} \; + \; c^{a+b} \; \leq \; 1

 
 
 
 
 
 
 
 
 
 
 
 

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About benvitalis

math grad - Interest: Number theory
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