A New Proof Of The Asymptotic Limit Of The $Lp$ Norm Of The Sinc Function

R. Kerman, S. Spektor

We improve on the inequality $\frac{1}{\pi }{\int }_{-\infty }^{\infty }(\frac{{\sin }^{2}t}{t^2}{)}^{p}dt\le \frac{1}{\sqrt{p}},0.2cmp\ge 1,$ showing that $\displaystyle{\frac{…