Gibbs-Wilbraham splines
Gibbs-Wilbraham splines
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吉布斯-威尔布拉汉姆样条
DOI：
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发表时间：
1995
期刊：
影响因子：
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通讯作者：
F. Richards
中科院分区：
文献类型：
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作者：
J. Foster;F. Richards
如果一个具有跳跃间断的函数在L2 [− 1，1]的范数下被一个具有等距节点的k阶周期样条逼近，则会出现类似于傅里叶级数的吉布斯-威尔布拉姆现象。介绍了一组基数样条函数，它起着经典现象的正弦积分函数的作用。然后表明，问变得大，样条曲线的现象接近经典现象。
If a function with a jump discontinuity is approximated in the norm ofL2[−1,1] by a periodic spline of orderk with equidistant knots, a behavior analogous to the Gibbs-Wilbraham phenomenon for Fourier series occurs. A set of cardinal splines which play the role of the sine integral function of the classical phenomenon is introduced. It is then shown that ask becomes large, the phenomenon for splines approaches the classical phenomenon.