凹凸函数的某些性质在国内外数学竞赛中有着广泛的应用,尤其在不等式证明中优势更加突出.本文拟给出凹凸函数的一个不等式,并举例说明其重要应用.定理函数y=f(x)在区间D上可导,x_0∈ Some properties of the concave and convex functions have been widely used in the mathematics competition at home and abroad, especially in the Inequality Proof. In this paper, an inequality of the concave and convex functions is given and an example is given to illustrate its important application. Theorem function y = f (x ) Can be induced in the interval D, x_0 ∈