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[tex]0\leq x,y\leq1, \,\,a>0,\,\, \phi_{a}(x,y)=\frac{1}{a}\,x^{(1-a)/a}+\frac{1}{a}\,y^{(1-a)/a}-\frac{1}{a^2}\,(x\,y)^{(1-a)/a}[/tex] .
In which case depending on the value of the parameter "a" ,the function [tex]\phi_{a}(x,y) \geq 0 [/tex].
Thanks
In which case depending on the value of the parameter "a" ,the function [tex]\phi_{a}(x,y) \geq 0 [/tex].
Thanks