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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/87479

    Title: 可微函數的一些不等式及其某些平均數的應用
    Other Titles: Ineqalities for differentiable mapping and applications to special means of real numbers
    Authors: 蘇明慧;Sue, Ming-Hui
    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;Yang, Gou-Sheng
    Keywords: 不等式;Hermite-Hadamard inequality
    Date: 2012
    Issue Date: 2013-04-13 11:12:38 (UTC+8)
    Abstract: 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。
    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..
    Appears in Collections:[數學學系暨研究所] 學位論文

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