, Volume 5, Issue 1, pp 73-89

Some Remarkable Properties of Sinc and Related Integrals

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Abstract

Using Fourier transform techniques, we establish inequalities for integrals of the form $\smallint _0^x \prod\limits_{k = 0}^n {\frac{{\sin (akx)_{} }}{{akx}}dx.} $

We then give quite striking closed form evaluations of such integrals and finish by discussing various extensions and applications.