A remark concerning sinc integrals

Uwe Bäsel

We give a simple proof of Hanspeter Schmid's result that $K_n:=2{\int }_0^{\infty }\cos t{\prod }_{k=0}^n\mathrm{sinc}\left(\frac{t}{2k+1}\right)\mathrm{d}t=\pi /2$ if $n\in\{0,1,\ldots,55\}…