Hello,

Could someone please give me help with the following problem?

Supposefis a continuous increasing function with f(0) = 0. Prove that for a,b > 0, we have a form of Young's Inequality,

$\displaystyle ab \leq \int_0^af(x)dx + \int_0^b f^{-1}(x)dx$

and that equality holds if and only if b = f(a)

Thanks!