三阶可微函数的若干不等式

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英文篇名：On Some Inequalities for Three Order Differentiable Mappings 作者：时统业 ; 姜卫东 ; 宋祥斌 英文作者：SHI Tong-ye;JIANG Wei-dong;SONG Xiang-bin;Pukou Institute of Naval Command College; 关键词：凸函数 ; Hlder不等式 ; Grüss不等式 ; Chebychev不等式 ; Bullen不等式 英文关键词：convex functions;;Hlder's inequality;;Grüss' s inequality;;Chebychev's inequality;;Bullen's inequality 中文刊名：GKSX 英文刊名：College Mathematics 机构：海军指挥学院浦口分院; 出版日期：2014-06-15 出版单位：大学数学 年：2014 期：v.30;No.172 语种：中文; 页：GKSX201403009 页数：7 CN：03 ISSN：34-1221/O1 分类号：48-54

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 Hlder's inequality,Grüss' s inequality,Chebychev's inequality.

引文

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