一些Hadamard不等式的推廣

Some generalizations of Hadamard's double inequality

鄭名珊(Ming-Shan Cheng)

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.2013.01090

摘要

設 →R為凸函數，則下列不等式成立
(1.1)
此為眾所周知的Hadamard的雙邊不等式。
本文建立一些不等式(1.1)的推廣。

關鍵字

Hadamard不等式 ； 凸函數

並列摘要

The following double inequality
f( ) f(x)dx (1.1)
which holds for all convex functions →R is known in the literature as the Hadamard’s inequality.
We establish some new generalizations of the inequality (1.1).

並列關鍵字

Hadamard's double inequality ； convex functions

參考文獻

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