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Название: Some remarkable properties of sinc and related integrals
Авторы: Borwein D., Borwein J.M.
Аннотация:
From The Ramanujan Journal, 5 (2001), no. 1, 73–89.
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.