如果 f: [a,b] → ℝ 為[a,b]中的凸函數，則 
f((a+b)/2) ≤ 1/(b-a)∫_a^b ▒〖f(x)dx ≤ 1/(2) [f(a)+f(b)]〗 (1.1) 
恆成立，為眾所週知的Hermite-Hadamard不等式 
如果 f為[a,b]中的凸函數，是否存在實數 l及 L滿足下列不等式： 
f((a+b)/2)≤ l ≤1/(b-a )∫_a^b▒〖f(x)dx ≤ L ≤ 1/(2) [f(a)+f(b)] 〗 (1.2) 
本論文研究的主要目的是為了提供這問題 (1.2) 更多的一些答案

If f : [a,b] → ℝ is convex on [a,b], then 
f((a+b)/2) ≤ 1/(b-a)∫_a^b▒〖f(x)dx ≤ 1/(2) [f(a)+f(b)]〗 (1.1) 
This is the classical Hermite-Hadamard inequality 
If f is a convex function on [a,b] , do there exist real numbers l , L such that 
f((a+b)/2)≤ l ≤1/(b-a)∫_a^b▒〖f(x)dx ≤ L ≤ 1/(2) [f(a)+f(b)] 〗 (1.2) 
The main purpose of this paper is to give some answers to 
the question (1.2)

中文部份
1.引言……………………………………………………………………P1
2.主要結果………………………………………………………………P3
3.參考文獻 ……………………………………………………………P18

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