Hermite型非正规样本定理的一致截断误差与混淆误差估计

The Estimation of Uniform Truncation Error and Uniform Aliasing Error of Hermite Irregular Sampling Theorem

估计了函数f(x)在具有某种衰减条件(存在s>0,使得f(x)≤C1/1+|x|s,f'(x)≤C2/1+|x|s,其中C1,C2为正常数)时,利用Hermite插值算子在非正规节点处进行插值重构所产生的一致截断误差与一致混淆误差的界。

Institute of Applied Mathematics of Xihua University,Chengdu 610039 China In this paper.,the estimation of uniform truncation error and uniform aliasing error of Hermite irregular sampling theorem are determined for functions with some decay properties：fx≤C1/1＋｜x｜s,f＇x≤C2/1＋｜x｜s,for some s0,and two positive constants C1,C2.