New posts in mixing-variables

prove this inequality with $63$

real-analysis multivariable-calculus inequality uvw mixing-variables

For positive $a$, $b$, $c$ with $abc=1$, show that $\sum_{cyc}\sqrt{a^2-a+1}\geq a+b+c$

inequality contest-math substitution cauchy-schwarz-inequality mixing-variables

How prove this $x^3+y^3+z^3+3\ge 2(x^2+y^2+z^2)$

multivariable-calculus inequality substitution uvw mixing-variables