Prove that
$f\left( x\right) =\dfrac {1-x^{n}} {\left( 2-x\right) ^{n}-1}, \quad x\in [0,1)$
is convex for any $n\in \mathbb{N}$.
The second derivative is very unfriendly for a calculus...
Prove that
$f\left( x\right) =\dfrac {1-x^{n}} {\left( 2-x\right) ^{n}-1}, \quad x\in [0,1)$
is convex for any $n\in \mathbb{N}$.
The second derivative is very unfriendly for a calculus...