m次积分余弦算子函数的逼近  

The Approximations of m-times Integrated Cosine Functions

作　　者：曹德侠[1] 宋晓秋[1] 张祥芝[1] 

机构地区：[1]中国矿业大学理学院,江苏徐州221008

出　　处：《数学的实践与认识》2007年第9期164-167,共4页Mathematics in Practice and Theory

基　　金：中国矿业大学青年科研基金(2006A040);中国矿业大学科技基金(2005B025)

摘　　要：m次积分余弦算子函数是近年来提出并研究的一类算子族,它的逼近问题是研究的课题之一.目的在于研究如何用生成元预解式的逼近来刻画m次积分余弦算子函数的逼近.利用Laplace变换得到了m次积分余弦算子函数逼近的四个等价条件.当m=0时即为经典的余弦算子函数相应的逼近结果.m-times integrated cosine-function is a family of operators recently proposed, the approximation of m-times integrated cosine functions is one subject studied by many researchers. The purpose of this paper is how to get the approximation of m-times integrated cosine functions by resolvents. The four equivalent conditions for approximations are obtained by means of Laplace transformations. In particular, the classical approximation of cosine functions is the special case of our results for m=0.

关 键 词：m次积分余弦算子函数 逼近 LAPLACE变换 

分 类 号：O177.2[理学—数学]