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  • 學位論文

更極緻的阿達瑪不等式

More 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


[5] J.T. Hung(洪睿澤) , Refinements of Hermite-Hadamard’s inequality , Master’s Thesis (2016) , Dept of Math , Tamkang University ,Tamsui , Taiwan .
[1] S.S. DRAGOMIR AND C.E.M. PEARCE, Selected Topics on Hermite-Hadamard Inequalities,
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.
[6] D.S. MITRINOVIĆ AND I.B. LACKOVIĆ,Hermite and convexity, Aequationes Math., 28 (1985), 229-232.

延伸閱讀


  • Wang, C. (2016). 精緻的阿達瑪不等式 [master's thesis, Tamkang University]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0002-2805201615062000
  • 林柏劭(2021)。更細膩的阿達瑪不等式〔碩士論文,淡江大學〕。華藝線上圖書館。https://www.airitilibrary.com/Article/Detail?DocID=U0002-2107202108432200
  • 丁祥生(2017)。精緻的阿達瑪不等式〔碩士論文,淡江大學〕。華藝線上圖書館。https://www.airitilibrary.com/Article/Detail?DocID=U0002-2205201720205800
  • 簡杞恆(2020)。更細緻的阿達瑪不等式〔碩士論文,淡江大學〕。華藝線上圖書館。https://www.airitilibrary.com/Article/Detail?DocID=U0002-1207202000293900
  • 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

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