更極緻的阿達瑪不等式

More Refinements of Hermite-Hadamard inequality

葉正宏(Yeh , Cheng-Hung)

指導教授 ： 楊國勝

淡江大學/理學院/中等學校教師在職進修數學教學碩士學位班/碩士(2017年)

https://doi.org/10.6846/TKU.2017.00760

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。

關鍵字

阿達瑪不等式 ； 凸函數

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.

並列關鍵字

Hermite-Hadamard inequality ； convex functions

參考文獻

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Victoria University, 2000.

[3] A.EL FARISSI,Simple proof and refinement of Hermite-Hadamard inequality,Journal of Mathematical Inequalities Vol.4 No.3 (2010),365,369.

[5] J.T. Hung(洪睿澤) , Refinements of Hermite-Hadamard’s inequality , Master’s Thesis (2016) , Dept of Math , Tamkang University ,Tamsui , Taiwan .

[6] D.S. MITRINOVIĆ AND I.B. LACKOVIĆ,Hermite and convexity, Aequationes Math., 28 (1985), 229-232.