连续和与离散和的差的阶的估计  

The Estimation of the Order of Difference Between Continuous Sum and Its Discrete Sum

作　　者：彭建华[1] 杜燕[1] 范崇秀 

机构地区：[1]重庆理工大学理学院,重庆400054

出　　处：《重庆理工大学学报（自然科学）》2016年第12期162-164,170,共4页Journal of Chongqing University of Technology：Natural Science

基　　金：国家自然科学基金资助项目(11171363);高等数学课程专项建设经费资助项目;重庆理工大学重大教学成果培育项目

摘　　要：研究了连续和∫abf(x)dx与离散和Sn=b-a/n∑nk=1f(a+k·b-a/n)之间的关系,利用阶的估计的方法对连续和与离散和的差给出了较为准确的阶的估计。This paper investigates the relationship between the continuous sum ∫abf（x）dx and its discrete sumn Sn=b-a/n∑nk=1f（a＋k·b-a/n） for some given function. By using the method of estimation of the orders,it accurately estimates the order difference between the continuous sum and discrete sum.

关 键 词：连续和 离散和 阶的估计 

分 类 号：O174.1[理学—数学]