函數在區間上是凸函數，就是我們在所熟知關於凸函數的Hermite-Hadamard 不等式 [3,P49]。 在參考文獻[7] Dragomir 及 Agarwal証明了以下的引理。 這份論文的目的是為了要推廣定理B和定理C，並且應用他們在一些特殊的平均數和不規則四邊形的公式上。 Let f be a convex function on the interval of real numbers and with a<b.The inequalityis well known in the literature as Hermite-Hadamard’s inequality [ 3,P49 ] For several recent results concerning Hermite-Hadamard’s inequality, we refer the interested reader to [1-6], where further references are listed. In [7] Dragomir and Agarwal proved the following lemma. The aim of this paper is to give some generalizations of theorem B and theorem C as well as to apply them to some special means and to trapezoidal formula..
