阿達瑪不等式的推廣及應用

Some generalizations and applications of Hadamard's inequalities

洪梓瀛(TZ-Ying Hung)

指導教授 ： 陳功宇

淡江大學/理學院/數學學系碩士班/碩士(2011年)

https://doi.org/10.6846/TKU.2011.00743

摘要

在本文中，我們研究在平面上三角形區域與圓區域或空間中球

體的凸函數，得到一些類似阿達瑪不等式。最後利用凸函數的性質，

推得逆的Holder不等式。

關鍵字

阿達瑪不等式

並列摘要

In this paper we study Convex function in the triangle or

circle or ball , get some similar Hadamard inequality.

Finally, Finally, the nature of the use of convex push

inverse the Holder inequality.

並列關鍵字

Hadamard's inequalities ； Convex functions ； Inverse Holder inequalities

參考文獻

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