关于函数的Fourier级数系统展开方法  

On Problems of Fourier Series Expansion Of The Function

作　　者：魏全顺[1] 

机构地区：[1]湖南省第一师范学校数理系,湖南长沙410002

出　　处：《湖南第一师范学报》2007年第1期158-160,共3页Journal of First Teachers College of Hunan

基　　金：广西教改工程与教育科学"十五"规划课题的成果之一

摘　　要：设f(x)在区间[a,b]上满足Dirichlet充分条件,则f(x)在[a,b]上既可以展开成正弦函数,也可以展开成余弦函数。In this paper, we study the problems of Fourier series expansion of the functions, and obtain series means of Fourier series expansion of the functions and meanwhile we explain the problems asked by Dotor Din Xuan - hao in the article （ 1 ） ,then obtain a means to turn the function in any finite interval into a sine series or cosine series.

关 键 词：FOURIER级数 延拓 系统展开法 

分 类 号：O174.23[理学—数学]