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- W1605365868 abstract "We improve on the inequality $displaystyle{frac{1}{pi}int_{-infty}^{infty} (frac{sin^2 t}{t^2})^pdtleq frac{1}{sqrt p}, {0.2 cm}pgeq 1,}$ showing that $displaystyle{frac{1}{pi}int_{-infty}^{infty} (frac{sin^2 t}{t^2})^pdtleq C(p) frac{sqrt{3/pi}}{sqrt p},}$ with $displaystyle{lim_{plongrightarrow infty} C(p)=1,}$ and indeed that {align*} displaystyle{lim_{plongrightarrow infty}frac{1}{pi}int_{-infty}^{infty} (frac{sin^2 t}{t^2})^pdt/ frac{sqrt{3/pi}}{sqrt p}=1.} {align*}" @default.
- W1605365868 created "2016-06-24" @default.
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- W1605365868 date "2012-08-19" @default.
- W1605365868 modified "2023-09-27" @default.
- W1605365868 title "A New Proof Of The Asymptotic Limit Of The $Lp$ Norm Of The Sinc Function" @default.
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