δ函数Legendre非线性逼近的收敛性  

Convergence of the Legendre nonlinear approximations to the Dirac function

作　　者：潘云兰[1] 

机构地区：[1]浙江师范大学数理学院,浙江金华321004

出　　处：《浙江师范大学学报（自然科学版）》2005年第4期367-371,共5页Journal of Zhejiang Normal University:Natural Sciences

基　　金：浙江省留学回国基金会留学回国人员科研启动基金;浙江师范大学数学重点专业基金

摘　　要：讨论了利用Legendre多项式母函数的非线性逼近,证明了当这类非线性逼近应用于Diracδ函数时逼近是收敛的,且导出了逼近误差.The nonlinear approximations based on the generating functions of the Legendre polynomials were studied. It was proved that such nonlinear approximations to the Dirac delta function on [-1,1] were convergent. Moreover, the approximate errors was examined.

关 键 词：非线性逼近 母函数方法 Diracδ函数 LEGENDRE多项式 

分 类 号：O241.5[理学—计算数学]