数学物理学报(英文版) ›› 2002, Vol. 22 ›› Issue (4): 466-472.
房艮孙, 陈雪冬
FANG Gen-Sun, CHEN Xue-Dong
摘要:
It is shown that a function f which is in the classical Paley-Wiener class,and its k-th derivative f(k) can be recovered in the metric Lq(R), 2 < q 1, from its values on irregularly distributed discrete sampling set {tj}j2Z as limits of polynomial spline interpolation when the order of the splines goes to infinity, where {tj}j2Z is a real sequence such that {eitj}j2Z constitutes a Riesz basis for L2([−, ]).
中图分类号: