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for questions involving inequalities, upper and lower bounds.

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Prove inequality [closed]

I have to prove the following inequality (See Appendix A of Classical Fourier Analysis of Grafakos). $$ \left(\frac{(1+s/y)^y}{e^s}\right)^{2y} \leq (1+s)^2 / \exp(s), \quad s\geq 0 $$ and $$ \left(\f …
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