- 學位論文
一些更精細的 Hermite-Hadamard 不等式
Several Refinements of Hermite-Hadamard Inequality
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
Hermite-Hadamard Inequalities, (RGMIA Monographs
[2] A El Farissi, Simple proof and refinement of Hermite-Hadamard
[3] D.S. Mitrinović and I.B. Lacković, Hermite and convexity,
[1] S. S. Dragomir and C. E. M. Pearce, Selected Topics on
http: / /rgmia.vu.edu.au /monographs/ hermite_hadamard
延伸閱讀
- 洪翊華（2018）。更細緻的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=U0002-1707201823320600
- 林宏譯（2021）。一些更進階的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=U0002-2001202108465000
- 方矅（2018）。有關更精細的 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=U0002-1807201820012900
- 洪宁宇（2019）。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=U0002-2106201917201500
- 周靜華（2022）。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=U0002-2206202210531000