有界变差函数的加权Ostrowski型不等式的改进及其应用(英文)  

Some Refinements of the Weighted Ostrowski's Inequality for Functions of Bounded Variation and Applications

作　　者：刘文军[1] 邓子豪[1] 

机构地区：[1]南京信息工程大学数学与统计学院,南京210044

出　　处：《数学理论与应用》2014年第2期49-54,共6页Mathematical Theory and Applications

基　　金：supported by the National Undergraduate Training Programs for Innovation(Grant No.201310300030Z)

摘　　要：本文改进了有界变差函数的加权Ostrowski型不等式,并给出了其在求积公式中的应用.In this paper, we establish some further refinements of the weighted Ostrowski type inequality for functions of bounded variation in terms of the cumulative variation function. The application for the quadrature formula is also given.

关 键 词：加权Ostrowski型不等式 求积公式 有界变差函数 

分 类 号：O178[理学—数学]