一些關於Hadamard不等式右半部的推廣及改良的研究結果請詳見參考文獻[3]。我們將建立關於Hadamard不等式左半部的一些不等式。
    這份論文的主要目的是為了推廣定理1.1~定理1.3，並且應用他們在一些特殊的平均數上。

Some results connected with the right part of Hermite-Hadamard inequalities was given in [3]. We shall establish some inequalities connected with the left part of them.
   
      The aim of this paper is to give some generalizations of Theorem 1.1 ~ Theorem 1.3 as well as to apply them for some specail means of real numbers .

目 次

中文摘要	i
英文摘要	ii
目 次	iii
第壹章  前言	1
第貳章  主要結果	2
第參章  特殊平均數的應用	10
參考文獻	19

Content
1.Introduction	20
2. Main results	21
3.Application to special means  	30
References	39

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