若f(x):[a,b]→R為凸函數,a,b屬於R，則(公式請參照論文正文)恆成立，這就是著名的Hermite-Hadamard不等式，要探討的是，
若f(x)為[a,b]中的凸函數，是否能找到實數l及L使得下列不等式能成立：
(公式請參照論文正文)本論文研究的主要目的是要對上式提供一些答案。

If f(x):[a,b]→R  is convex on [a,b] , then (refer to the inequality of the paper)	
is  known the literature Hermite-Hadamard inequality.
There is the question that if f(x) is a convex function on [a,b], do there exist real numbers l and L such that (refer to the inequality of the paper)	
The major goal of this study is to give some answers to the question.

1.緒論…………………………………………1
2.主要結果…………………………………3
3.文獻探討…………………………………22

[1]  S. S. Dragomir and C. E. M. Pearce, Selected Topics on
Hermite-Hadamard Inequalities, (RGMIA Monographs
http: / /rgmia.vu.edu.au /monographs/ hermite_hadamard
html),Victoria University, 2000.

[2]  A El Farissi, Simple proof and refinement of Hermite-Hadamard
inequality, J.Math Ineq.Vol.4, No.3 (2010) 365

[3]  D.S. Mitrinović and I.B. Lacković, Hermite and convexity,
Aequationes Math., 28(1985), 229-232

[4]  C. Niculescu and L.-E. Persson, Old and new on the
Hermite-Hadamard inequality, Real Analysis Exchange, 2004