淡江大學機構典藏:Item 987654321/102160
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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/102160


    Title: 關於Hermite-Hadamard不等式一些更細緻的結果
    Other Titles: Some refinements of Hermite-Hadamard inequalities
    Authors: 李孟儒;Lee, Meng-Ju
    Contributors: 淡江大學中等學校教師在職進修數學教學碩士學位班
    楊國勝
    Keywords: Hadamard's不等式;Hermite-Hadamard's不等式;凸函數;Hadamard's inequalities;Hermite-Hadamard's inequalities;convex
    Date: 2014
    Issue Date: 2015-05-04 09:48:54 (UTC+8)
    Abstract: 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.
    Appears in Collections:[Graduate Institute & Department of Mathematics] Thesis

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