精緻的阿達瑪不等式

Refinements of Hermite-Hadamard inequality

丁祥生(Hsiang-Sheng Ting)

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.2017.00761

摘要

若f在[a,b]中為一個凸函數，那麼存在有實數k,K介於阿達瑪不等式的不等號中間嗎?
此論文主要研究目的就是找出更精緻的答案。

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

[10] Carlem Wang(王清正),Refinements of Hermite-Hadamard inequality (2016)

[2] M.BESSENYEI AND Zs. PALES,Hadamard-type inequality for generalized convex functions,Math.Inequal. Appl.,6,3 (2003),379-392.

[3] S. S. DRAGOMIR AND C. E. M. PEARCE,Selected Topics on Hermite-Hadamard Inequalities,

VictoriaUniversity, 2000.

[5] A.EL FARISSI,Z LATREUCH, B BELAIDI, Hadamard-Type Inequalities for Twice DifferentibleFunctions,RGMIA Research Report collection, 12, 1 (2009),Art. 6.