設f：[a,b]→R是一個定義在[a,b]的凸函數，則(數學公式請參照電子檔或紙本論文)
(1.1)式是著名的Hermite-Hadamard雙邊不等式。
若f是一個定義在[a,b]的凸函數，則是否存在有兩個實數k,K
使得(數學公式請參照電子檔或紙本論文)(1.2)
此為參考文獻[2]中的作者提出的問題，該作者也提供了一個答案
本論文主要目的是提供更多問題(1.2)的答案。

If f：[a,b]→R is convex on [a,b],then
(Please refer to the paper)(1.1)
This is the classic Hermite-Hadamard inequality
In [2],the author ask the following problem:
If f is convex function on [a,b],do there exist real numbersk,K
such that (Please refer to the paper)(1.2)
and he gave an affirmative answer.
The main purpose of this paper is to give more answers to the 
question.(1.2)

1.緒論…………………………………………………………1
2.主要結果………………………………………………2
3.參考文獻……………………………………………23

[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