本研究的主要目的為建立有關導數為有界且為準凸函數(quasi-convex function)的 Hermite-Hadamard 不等式之推廣,以及估計一般化的中點公式誤差的界限。所得到的研究結果可應用於藉由中點公式去估計積分之近似誤差。 The main purpose of this paper is to establish some inequalities of Hermite-Hadamard type for functions whose derivatives in absolute values are quasi-convex , and some error estimates for the generalized midpoint formula . The obtained results can be used to give estimates for the approximation error of the integral by the use of the midpoint formula .