A sinc approximation for the indefinite integral

A sinc approximation for the indefinite integral
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不定积分的 sinc 近似

DOI:
10.1090/s0025-5718-1983-0717703-x
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发表时间:
1983
影响因子:
2
通讯作者:
R. B. Kearfott
R. B. Kearfott
中科院分区:
数学2区
文献类型:
--
作者:
R. B. Kearfott

文献摘要

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概述了计算fo' f(t)dt,x =(0,1)的方法,其中f(t)可能在t = 0和t = 1处具有奇异性。该方法依赖于惠特克基数或sinc函数展开式的近似性质;一般技术可以用于除了(0,1)之外的半无限或无限区间。给出了数值结果表。
A method for computing fo' f(t) dt, x = (0, 1) is outlined, where f(t) may have singularities at t = 0 and t = 1. The method depends on the approximation properties of Whittaker cardinal, or sinc function expansions; the general technique may be used for semi-infinite or infinite intervals in addition to (0, 1). Tables of numerical results are given.