[[alternative]]Further refinements of Hermite-Hadamard inequality

碩士[[abstract]]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。[[abstract]]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[[tableofcontents]]中文部分 1.緒論...............................................1 2.主要結果...........................................4 3.參考文獻..........................................24 English Part 1.Introduction.......................................25 2.Main Results.......................................29 3.Reference..........................................49[[note]]學號: 702190017, 學年度: 10