一个含参数的强三点积分不等式  

Sharp three point integral inequality with parameter

作　　者：孙岩[1] 刘证[1] 

机构地区：[1]鞍山科技大学理学院,辽宁鞍山114044

出　　处：《鞍山科技大学学报》2005年第3期180-184,共5页Journal of Anshan University of Science and Technology

摘　　要：利用一种Gr櫣ss型不等式去推出一个新的含参数的强三点积分不等式,精确地给出使不等式中等式成立的函数,由此统一处理并且改进了由MMatic、XLCheng、NUjevic、CEMPearce等人提出的改进的Tay lorc、Ostrowski Gr櫣ss及中点的一些积分不等式。A new sharp three point inequality with parameter was obtained by use of a variant of Grüss inequality and the function holding equality in inequality was precisely characterized.A unified treatment and improvement of some integral inequalities in the literature were provided,such as some estimations in Taylor's formula and inequalities Ostrowski-Grüss type which were improved by M Matic,X L Cheng,N Ujevic,C E M Pearce,etc.

关 键 词：Gruss型不等式 三点不等式 强积分不等式 扰动中点不等式 扰动梯形不等式 Simpson不等式 

分 类 号：O178[理学—数学]