渐近周期函数和渐近周期序列的一些性质  

Some properties of asymptotically periodic functions and asymptotically periodic sequences

作　　者：武女则[1] 籍明文[1] 

机构地区：[1]天津外国语学院基础课教学部,天津300204

出　　处：《山东理工大学学报（自然科学版）》2008年第1期32-35,共4页Journal of Shandong University of Technology:Natural Science Edition

基　　金：天津外国语学院"十五"科研规划青年科研资助项目(S-33)

摘　　要：利用概周期型函数的理论,得出了渐近周期函数和渐近周期序列二者的关系定理,以及R+上的向量值渐近周期函数与概周期函数的等价关系.研究了渐近强周期函数空间、渐近周期序列空间的可分性质.By using theories of almost type functions, the theorem about relation of asymptotically periodic functions and asymptotically periodic sequences, as well as the equipollence of vector-valued asymptotically periodic functions and almost periodic functions on R^＋ are obtained. The separability of asymptotically strongly periodic function space and asymptoti- cally periodic sequence space are also discussed.

关 键 词：渐近周期函数 渐近周期序列 概周期 可分性 

分 类 号：O174[理学—数学]