淡江大學機構典藏:Item 987654321/87444
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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/87444


    Title: 關於導數為有界的函數的Hermite-Hadamard型不等式的研究
    Other Titles: Inequalities of Hermite-Hadamard type for functions whose derivatives in absolute values are quasi-convex
    Authors: 謝瑾瑜;Hsieh, Chin-Yu
    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: Hermite-Hadamard 不等式;準凸函數;Hermite-Hadamard inequality;Quasi-convex function.
    Date: 2012
    Issue Date: 2013-04-13 11:06:23 (UTC+8)
    Abstract: 本研究的主要目的為建立有關導數為有界且為準凸函數（quasi-convex function）的 Hermite-Hadamard 不等式之推廣，以及估計一般化的中點公式誤差的界限。所得到的研究結果可應用於藉由中點公式去估計積分之近似誤差。
    The main purpose of this paper is to establish some inequalities of Hermite-Hadamard type for functions whose derivatives in absolute values are quasi-convex , and some error estimates for the generalized midpoint formula . The obtained results can be used to give estimates for the approximation error of the integral by the use of the midpoint formula .
    Appears in Collections:[Graduate Institute & Department of Mathematics] Thesis

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