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  • 學位論文

一些更精緻的 Hermite-Hadamard 不等式

Some Refinements of Hermite-Hadamard Inequality

指導教授 : 楊國勝

摘要


若f在[a,b]中為一個凸函數,那麼存在有實數k,K使得 k,K介於阿達瑪不等式的不等號中間嗎? 這個論文主要研究目的就是去找出更多這樣的答案。

並列摘要


If f is convex function on [a,b],do there exist real numbers k,K,such that between the classic Hermite-Hadamard inequality? The main purpose of this paper is to give more answers to the question.

參考文獻


[1] A. EL FARISSI, Simple proof and refinement of Hermite-Hadamard inequality, J. Math Ineq. Vol.4, No.3(2010), 365-369.
[2] A. EL FARISSI, Z. LATREUCH, B. BELAIDI, Hadamard-Type inequalities for twice differentiable functions, RGMIA Reasearch Report Collection, 12, 1(2009), Art.6.
References
[3] J.HADAMARD, Etude sur les proprietes des fonctions entieres et en particulier d’une fonction consideree par Riemann. J. Math. Pures Appl., 58(1893), 171-215.
[4] L. T. Wen, Several Refinements of Hermite-Hadamard Inequality, Master Thesis, Dept. Math. Tamkang University. Taiwan,(2016).

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