徐利治,王兴华.关于Euler-Maclaurin求和公式的一种余项表示[J].数学研究及应用,1981,1(1):101~105
关于Euler-Maclaurin求和公式的一种余项表示
An Expression for the Remainder Terra of the Euler-Maclaurin Summation Formula
投稿时间:1980-10-10  
DOI:10.3770/j.issn:1000-341X.1981.01.012
中文关键词:  
英文关键词:
基金项目:
作者单位
徐利治 吉林大学 
王兴华 杭州大学 
摘要点击次数: 2458
全文下载次数: 1607
中文摘要:
      
英文摘要:
      Let f(t) be a functiin defined on [a,b] and Let f(r-1)(t)(r≥2) be of bounded variation there. Then for any x∈[0,l] we have (?).It is shown that the expression given above has various consequences including those mentioned in [1], [2],[3], respectively. Also the result included in this note is a refined estimate fcr the remainder term of an asymptotic expansion of a kind of oscillatory integral (See (13) - (16)).
查看全文  查看/发表评论  下载PDF阅读器