設f：[a,b]→R是一個定義在[a,b]的凸函數，且a,b∈R，則
f((a+b)/2)≤1/(b-a) ∫_a^bf(x)dx≤1/2[f(a)+f(b)]恆成立-(1.1)
上式(1.1)為著名的阿達瑪雙邊不等式。
要探討若f是在[a,b]中的凸函數，則是否存在兩實數l,L使得
f((a+b)/2)≤l≤1/(b-a) ∫_a^bf(x)dx≤L≤1/2[f(a)+f(b)]   -(1.2)本論文研究主要目的是為了能在上式(1.2)中提出一些解法。

If f：[a,b]→R is convex on [a,b],then
   f((a+b)/2)≤1/(b-a) ∫_a^bf(x)dx≤1/2[f(a)+f(b)](1.1)
This is the classic Hermite-Hadamard inequality
The question is that If f is convex function on [a,b],do there exist real numbers l,L,such that
   f((a+b)/2)≤l≤1/(b-a) ∫_a^bf(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)

1.Introduction………………………………………………1
2.Main Results………………………………………………4
Reference……………………………………………………17

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