設f是一個定義在區間I的凸實數函數,其中a,b屬於I,而且a小於b,那麼下面的Hadamard''s不等式成立 這個雙重不等式稱為Hermite-Hadamard''s不等式(或Hadamard''s不等式)。 本文的主要目的是針對Hadamard''s不等式的做一些推廣和建立一些更細緻的結果。 Let f be a convex real-valued function defined on an interval I of real numbers (a,b) and with a small then b. Then the Hadamard’s inequalities hold. This double inequality is known in the literature as the Hermite-Hadamard’s (or Hadamard’s) inequality. The main purpose of this paper is to give some generalizations and refinements of the Hadamard’s inequality.