- 學位論文
關於導數為有界的函數的Hermite-Hadamard型不等式的研究
Inequalities of Hermite-Hadamard type for functions whose derivatives in absolute values are quasi-convex
摘要
本研究的主要目的為建立有關導數為有界且為準凸函數（quasi-convex function）的 Hermite-Hadamard 不等式之推廣，以及估計一般化的中點公式誤差的界限。所得到的研究結果可應用於藉由中點公式去估計積分之近似誤差。
並列摘要
The main purpose of this paper is to establish some inequalities of Hermite-Hadamard type for functions whose derivatives in absolute values are quasi-convex , and some error estimates for the generalized midpoint formula . The obtained results can be used to give estimates for the approximation error of the integral by the use of the midpoint formula .
參考文獻
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[1] M , Alomari , M.Darus , and S.S. Dragomir , Inequlities of ermite-Hadamard’s
type for function , whose derivatives absolute values are quasi-convex ,
延伸閱讀
- 蔡黃凱（2012）。準凸函數的 Hermite-Hadamerd 型不等式的研究〔碩士論文，淡江大學〕。華藝線上圖書館。https://doi.org/10.6846/TKU.2012.00577
- 許佩珊（2021）。Hermite-Hadamard不等式的一些細化研究〔碩士論文，淡江大學〕。華藝線上圖書館。https://www.airitilibrary.com/Article/Detail?DocID=U0002-1401202110024500
- 陳家容（2022）。有關Hermite-Hadamard不等式之研究〔碩士論文，淡江大學〕。華藝線上圖書館。https://www.airitilibrary.com/Article/Detail?DocID=U0002-2306202211405100
- 洪堂鈞（2020）。關於Hermite-Hadamard不等式的研究〔碩士論文，淡江大學〕。華藝線上圖書館。https://www.airitilibrary.com/Article/Detail?DocID=U0002-0302202015074300
- 林曉楣（2011）。Some Hermite-Hadamard inequalites for functions whose derivatives are s-convex〔碩士論文，淡江大學〕。華藝線上圖書館。https://doi.org/10.6846/TKU.2011.00450