用Hermite函数的积分逼近积分型函数  

Approximation of Integral Function by Integral of Hermite Functions

作　　者：谌德 彭新俊[1] CHEN De;PENG Xin-jun(Department of Mathematics,Shanghai Normal University,Shanghai 200234, China)

机构地区：[1]上海师范大学数学系

出　　处：《大学数学》2019年第3期24-28,共5页College Mathematics

基　　金：上海市自然科学基金项目(13ZR1429800)

摘　　要：讨论了用Hermite函数的积分去逼近积分型函数的问题,给出了投影PNw(x)的原函数是平方可积的充分必要条件,得到了误差的L2(R)范数的上界.We investigate the problem of approximating the integral function by the integral of Hermite functions. We give an equivalent condition for the primitive function of the projection P N w(x) to be square integrable. Moreover, we obtain an upper bound for the approximation error under the L 2(R) norm.

关 键 词：Hermite函数 平方可积 L2(R)范数 

分 类 号：O177.6[理学—数学]