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三阶可微函数的若干不等式
引用本文:时统业,姜卫东,宋祥斌.三阶可微函数的若干不等式[J].工科数学,2014(3):44-50.
作者姓名:时统业  姜卫东  宋祥斌
作者单位:海军指挥学院浦口分院,江苏南京211800
摘    要:通过建立与Bullen不等式有关的积分恒等式,利用Halder不等式、Grüss不等式、Chebychev不等式,给出三阶可微函数的一些不等式.

关 键 词:凸函数  H(o)lder不等式  Grüss不等式  Chebychev不等式  Bullen不等式

On Some Inequalities for Three Order Differentiable Mappings
SHI Tong-ye,JIANG Wei-dong,SONG Xiang-bin.On Some Inequalities for Three Order Differentiable Mappings[J].Journal of Mathematics For Technology,2014(3):44-50.
Authors:SHI Tong-ye  JIANG Wei-dong  SONG Xiang-bin
Institution:(Pukou Institute of Naval Command College,Nanjing 211800, China)
Abstract:A general integral identity relating to Bullen's inequality for three order differentiable mappings is derived. Some inequalities for three order differentiable mappings are presented by using HOlder's inequality, Grtiss's inequality, Chebychev' s inequality.
Keywords:convex functions  Holder' s inequality  Gruss ' s inequality  Chebychev' s inequality  Bullen ' s inequality
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