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  • 學位論文

有關更細緻的 Hadamard 不等式

On refinements of Hadamard inequality

指導教授 : 楊國勝

摘要


本論文的主要目的是利用凸函數的性質及Hadamard不等式,推導(1.2)中是否存在實數,提供(1.2)問題更多的答案

並列摘要


The main purpose of this paper establish some new inequalities related to the Hermite-Hadamard’s inequality . It is to give more answers to the question (1.2)

參考文獻


[1] A.El.Farissi,Simple proof and refinement of Hermite-Hadamard inequality,J.Math ineg.ul4,No.3,(2010)365-369
[2] A.El.Farissi,Z.Latrench,B.Belaidi, Hadamard.Type inequalities for twice differentiable functions,RGMIA Reasearch Report Collection,12,1(2009),Art.6.
[3] S.S. Dragomir and C.E.M. Pearce, Selected Topics in Hermite-Hadamard Inequalities and Applications, RGMIA Monographs, Victoria University, 2000. Online:[ http://www.Staff.u.edu.au RGMIA/monographs/hermits_hadamard.html]
參考文獻
[4] J.Hadamard, Etude sur Les properties des fonctions entieres et enparticulierd’une function consideree par Riemann, J.Math.Pures appl.58(1893), 171-215.

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