- 學位論文
精緻的Hermite-Hadamard不等式
Refinements of Hermite-Hadamard inequality
摘要
利用Hermite-Hadamard雙邊不等式。 A.EL FARISSI提出了這樣的問題：若f是一個定義在[a,b]的凸函數，則是否存在有兩個實數l,L使得不等式成立 本論文主要研究目的是提供更多上述問題的答案，並針對所找出的l和L進行排序。 請參照紙本論文
並列摘要
Use the classic Hermite-Hadamard inequality. If f is convex function on [a,b],do there exist real numbers l and L such that inequality? The main purpose of this paper is to give some answers to the question,and put all the numbers in order. Please refer to the paper.
參考文獻
[1] S.S. DRAGOMIR AND C.E.M. PEARCE, Selected Topics on Hermite-Hadamard
Inequalities,
(RGMIA Monographs http://rgmia.vu.edu.au/monographs/hermite_hadamard.html),
Victoria University, 2000.
[2] A.EL FARISSI,Simple proof and refinement of Hermite-Hadamard inequality,Journal of Mathematical Inequalities Vol.4 No.3 (2010),365,369.
延伸閱讀
- 廖俊欣（2018）。一些更精細的 Hermite-Hadamard 不等式〔碩士論文，淡江大學〕。華藝線上圖書館。https://www.airitilibrary.com/Article/Detail?DocID=U0002-1309201816025400
- Yiu, H. Y. (2020). 更臻完善的Hermite-Hadamard不等式 [master's thesis, Tamkang University]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0002-2101202016172900
- 温麗東（2016）。一些更精細的 Hermite-Hadamard 不等式〔碩士論文，淡江大學〕。華藝線上圖書館。https://www.airitilibrary.com/Article/Detail?DocID=U0002-2805201615251200
- 丁祥生（2017）。Refinements of Hermite-Hadamard inequality〔碩士論文，淡江大學〕。華藝線上圖書館。https://www.airitilibrary.com/Article/Detail?DocID=U0002-2205201720205800
- Wang, C. (2016). Refinements of Hermite-Hadamard inequality [master's thesis, Tamkang University]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0002-2805201615062000