扩展的Hermite算子与无界函数逼近  

Extensional Hermite operator and approximation of unbounded function

作　　者：张淑丽[1] 叶继昌 

机构地区：[1]长春邮电学院基础部 [2]吉林工业大学

出　　处：《吉林大学学报（信息科学版）》1991年第3期52-56,共5页Journal of Jilin University（Information Science Edition）

摘　　要：将扩展乘数法应用于Hermite算子,使其逼近实轴上的无界函数,得出以第二类Chebyshev多项式的零点为插值结点的扩展的Hermite插值算子,该算子的收敛阶为O(α_n^rln^2n/n^r).其导数的收敛阶为O(α_n^(r-l)ln^2n/n^(r-l)) (0<l<r).Applying the method of multiplier-enlargement to the Hermite operator and approximating this operator to the unbounded function on the real number axis, an extensional Hermite operator with zeros of the second kind Chebyshev polynomials is obtained. Its convergence order is O(anr 1n2n/nr) and the convergence order of its derivative is O(anr-1 1n2n/nr-1). (0<l<r)

关 键 词：插值 导数 逼近/收敛阶 

分 类 号：N[自然科学总论]