Finding the maximum area of isosceles triangle

fa.practical evaluation – Superquadratic boundedness from $L^2$ convergence Answer

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fa.practical evaluation – Superquadratic boundedness from $L^2$ convergence

Assume $f_n,fin L^2(mathbb{R}^3)$ and $f_nto f$ strongly in $L^2$. It appears there’s a frequent incontrovertible fact that there exists a superquadratic maps $betain C([0,infty);[0,infty))$ such that $beta(0)=0$, $beta(t)t^{-2}to+infty$ as $tto+infty$, $beta(t)t^{-1}to+infty$ as $tto0^+$, and $int_{mathbb{R}^3}beta(f_n),dxle C<infty$ the place $C$ is unbiased of $n$. I’ve seen in lots of papers however I am unable to discover it within the textbooks.

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