設 f : 為凸函數(convex function)，其中a, b I, a< b，則下列不等式恆成立 此為廣為人知的Hadamard雙邊不等式。 本文試著就此Hadamard雙邊不等式，建立一些推廣與更細緻的結果。 The following double inequality holds for all convex functions on [a, b] is known in the literature as Hermite- Hadamard inequality. The main purpose of this paper is to establish some generalizations and refinements of the inequality
