Ostrowski不等式的改进及其应用  

The Improvement and Applications of Ostrowski Inequality

作　　者：王帮容[1] 闻道君[2] 

机构地区：[1]四川理工学院理学院,四川自贡643000 [2]重庆工商大学数学与统计学院,重庆400067

出　　处：《数学的实践与认识》2010年第9期233-236,共4页Mathematics in Practice and Theory

摘　　要：通过对Ostrowski不等式的改进,扩大了Ostrowski积分公式的适用范围,将该积分公式应用于数值积分推广了经典的中点积分公式、梯形积分公式和Simpson积分公式,同时得到相应的最佳误差限,并给出了具体的数值应用.In this paper, the applicability of the Ostrowski quadrature formula is enlarged with the improvement of Ostrowski inequality. The classical numerical integration formulas such as the midpoint, the trapezoid and the simpson are extended from the improved inequality, and the corresponding sharp error bounds are obtained at the same time. The specific application of numerical integration is given at last.

关 键 词：OSTROWSKI不等式 最佳误差限 梯形积分 Simpson积分 

分 类 号：O178[理学—数学]