Some remarkable properties of sinc and related integrals

被引：33

作者：

Borwein, D ^{[1
]}

Borwein, JM

机构：

[1] Univ Western Ontario, Dept Math, London, ON N6A 5B7, Canada

[2] Simon Fraser Univ, Dept Math & Stat, Ctr Expt & Construct Math, Burnaby, BC V5A 1S6, Canada

来源：

RAMANUJAN JOURNAL | 2001年 / 5卷 / 01期

关键词：

sinc integrals; Fourier transforms; convolution; Parseval's theorem;

D O I：

10.1023/A:1011497229317

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using Fourier transform techniques, we establish inequalities for integrals of the form [GRAPHICS] We then give quite striking closed form evaluations of such integrals and finish by discussing various extensions and applications.

引用

页码：73 / 89

页数：17