三阶可微函数的若干不等式  

On Some Inequalities for Three Order Differentiable Mappings

作　　者：时统业[1] 姜卫东[1] 宋祥斌[1] 

机构地区：[1]海军指挥学院浦口分院,江苏南京211800

出　　处：《大学数学》2014年第3期44-50,共7页College Mathematics

摘　　要：通过建立与Bullen不等式有关的积分恒等式,利用Hlder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.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.

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

分 类 号：O178[理学—数学]