严格的Hermite-Hadamard型不等式和Fejér型不等式

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英文篇名：Sharp Hermite-Hadamard Type Inequalities and Fejér Type Inequalities 作者：时统业 ; 尹亚兰 ; 周国辉 英文作者：SHI Tong-ye;YIN Ya-lan;ZHOU Guo-hui;Department of Information,PLA Naval Command College; 关键词：二阶可微函数 ; 凸函数 ; Fejér不等式 ; Hermite-Hadamard不等式 ; 误差估计 英文关键词：twice differentiable function;;convex function;;Fejér inequality;;Hermite-Hadamard inequality;;error estimation 中文刊名：GKSX 英文刊名：College Mathematics 机构：海军指挥学院信息系; 出版日期：2016-02-15 出版单位：大学数学 年：2016 期：v.32;No.183 语种：中文; 页：GKSX201601014 页数：6 CN：01 ISSN：34-1221/O1 分类号：75-80

摘要

已有文献引入与Hermite-Hadamard不等式和Fejér不等式有关的单调函数.考虑这些函数与其上界和下界的差,利用二阶导数,给出这些差的上下界,建立了一些新的严格的Hermite-Hadamard型不等式和Fejér型不等式.
        Upper and lower bounds of the difference generated by monotone functions related to Hermite-Hadamard inequality and Fejér inequality are given by using the second derivative.

引文

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