關於 Hermite-Hadamard不等式一些更細緻的結果

Some Refinements of Hermite-Hadamard Inequalities

李孟儒(Meng-Ju Lee)

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(2014年)

https://doi.org/10.6846/TKU.2014.01224

摘要

設f是一個定義在區間I的凸實數函數，其中a,b屬於I，而且a小於b，那麼下面的Hadamard's不等式成立
這個雙重不等式稱為Hermite-Hadamard's不等式(或Hadamard's不等式)。
本文的主要目的是針對Hadamard's不等式的做一些推廣和建立一些更細緻的結果。

關鍵字

Hadamard's不等式 ； Hermite-Hadamard's不等式 ； 凸函數

並列摘要

Let f be a convex real-valued function defined on an interval I of real numbers (a,b) and with a small then b. Then the Hadamard’s inequalities hold. This double inequality is known in the literature as the Hermite-Hadamard’s (or Hadamard’s) inequality.
The main purpose of this paper is to give some generalizations and refinements of the Hadamard’s inequality.

並列關鍵字

Hadamard's inequalities ； Hermite-Hadamard's inequalities ； convex

參考文獻

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