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加权Ostrowski型不等式
引用本文:焦寨军,李登,时统业.加权Ostrowski型不等式[J].岳阳师范学院学报,2013(4):1-7,35.
作者姓名:焦寨军  李登  时统业
作者单位:海军指挥学院浦口分院,江苏南京211800
摘    要:对于其导数的绝对值的幂具有凸性的函数,给出一些加权的Ostrowski型不等式.对于具有一阶有界导函数的函数,也给出一个加权的Ostrowski型不等式.

关 键 词:Ostrowski型不等式  凸函数  凹函数  可导函数  有界函数

Some Weighted Ostrowski Type Inequalities
JIAO Zhai-jun,LI Deng,SHI Tong-ye.Some Weighted Ostrowski Type Inequalities[J].Journal of Yueyang Normal University,2013(4):1-7,35.
Authors:JIAO Zhai-jun  LI Deng  SHI Tong-ye
Institution:(Pukou Institute of Naval Command College, Nanjing 211800, China)
Abstract:Some weighted Ostrowski type inequalities for functions which first derivative in absolute value aroused to the qth(q≥1 ) power are convex or concave are established. The weighted Ostrowski type inequalities for functions which first derivative are bounded, are also established.
Keywords:Ostrowski type inequality  convex fianctions  concave functions  differentiable functions  Bounded functions
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