準凸函數的Hermite-Hadamard's 不等式及其 在一些平均數的應用

Hermite-Hadamard's inequalities for quasi-convex functions and applications to special mean of real numbers

曾泓予(Hong-Yu Tseng)

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(2013年)

https://doi.org/10.6846/TKU.2013.01086

摘要

這篇論文當中, 我們建立了一些準凸函數的Hermite-Hadamard型的不等式, 以及一些在平均數上的應用。

關鍵字

凸函數 ； 準凸函數 ； 不等式

並列摘要

In the present paper,we establish several inequalities of Hermite-Hadamard type for functions of quasi-convex.

並列關鍵字

convex ； quasi-convex ； Hermite-Hadamard inequality

參考文獻

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[3] M. Alomari, M. Darus and U.S. Kirmaci, Refinements of Hadamard-type inequalities for quasi-convex functions with applications to trapezoidal formula and to special means, Comp.Math. Appl., 59 (2010), 225-232.

[4] M. Alomari and M. Darus, Some Ostrowski type inequalities for quasi-convex functions with applications to special means, RGMIA, 13 (2) (2010), article No.3.

[5] M. Alomari and M. Darus, On the Hadamard’s inequality for log-convex functions on the coordinates, J. Ineq. Appl. Volume 2009, Article ID 283147, 13 pages doi:10.1155/2009/283147.