淡江大學機構典藏:Item 987654321/102158
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    Title: 一些凸函數的不等式
    Other Titles: Some inequalities for convex functions
    Authors: 黃弘毅;Huang, Hung-Yi
    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: 凸函數;不等式;convex functions;inequality
    Date: 2014
    Issue Date: 2015-05-04 09:48:51 (UTC+8)
    Abstract: Hermite-Hadamard不等式(或Hadamard不等式),自從它被發現於1883年,Hadamard不等式[3]已被證明是數學分析中最有用的不等式之一。許多論文已經為這個不等式提供了新的證明,和許多值得一提的推廣及應用,內容請參見參考文獻[1-4]
    在文獻[3]中,B.G.Pachpatte證明了下列的積分不等式,其中所包括有兩個凸函數。
    本篇論文的主要目的在於建立定理P.的一些推廣。
    Hermite-Hadamard’s inequality(or Hadamard’s inequality).Since it’s discovery in 1883,Hadamard’s inequality [3] has proven to be one of the most useful inequality in mathematical analysis.
    A number of papers have been written on this inequality providing new proofs, noteworthy generalizations and numerous application, see [1-4] and the references cited there in.
    The main purpose of this paper is to establish some generalizations of Theorem P.
    Appears in Collections:[Department of Applied Mathematics and Data Science] Thesis

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