GGPiku wrote: $m,n$ are positive intergers and $x,y,z$ positive real numbers such that $0 \leq x,y,z \leq 1$. Prove that: $0 \leq x^{[m+n]}+y^{[m+n]}+z^{[m+n]}-x^m*y^n-y^m*z^n-z^m*x^n \leq 1$ Is this what you mean?

Yes Euler149

It's also been posted here

The fun part is that convexity and Muirhead kills it

Muirhead on a non-symmetrical inequality?

I'm so bad lmao... ignore that

GGPiku wrote: $m,n$ are positive intergers and $x,y,z$ positive real numbers such that $0 \leq x,y,z \leq 1$. Let $m+n=p$. Prove that: $0 \leq x^p+y^p+z^p-x^m*y^n-y^m*z^n-z^m*x^n \leq 1$

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