更細緻的Hermite-Hadamard 不等式的研究

On refinement of Hermite-Hadamard inequality

蕭銘竣(Ming-Jun Xiao)

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(2016年)

https://doi.org/10.6846/TKU.2016.00963

摘要

本論文研究的主要目的是要對Hermite-Hadamard不等式提供更多的答案。

關鍵字

Hermite-Hadamard 不等式 ； 凸函數

並列摘要

The main purpose of this paper is to give more answers to the Hermite-Hadamard inequality

並列關鍵字

convex function ； Hermite-Hadamard inequality

參考文獻

[1] S. S. DRAGOMIR AND C. E. M. PEARCE,Select Topics on Hermite-Hadamard Inequalities, (RGMIA Monographs http://rgmia.vu.eduau/monographs/hermite-hadamard.html) Victoria University, 2000

[2] A. EL FARISSI, Z. LATREUCH, B. BELAIDI, Hadamard –Type Inequalities for Twice Differentiable Function, RGMIA research report collection , 12, 1(2009), Art. 6.

[3] A. EL FARISSI, Simple Proof and Refinement of Hermite-Hadamard inequality, J. Math . Ineq. Vol4, No 3 (2010) 365-369.

[4] H. J. Goo, Several Refinements Of Hadamard Inequality (2015)

[6] D. S MITRINOVIĆ AND I. B. LACKOVIĆ, Hermite and convexity, Aequationes Math., 28(1985), 229-332.