摘要
設△ABC中，a, b與c爲其三邊長，s爲半周長。本研究使用初等代換運算以及算術平均數大於等於幾何平均數之方法，推導得出下列Gerretsen不等式：(方程式略)。
並列摘要
Let a , b , c and s be the sides and the semiperimeter of a triangle △ABC, respectively. Our primary objective is to show the following Gerretsen's inequality by using an elementary method: (The equation is abbreviated).
延伸閱讀
- 許佩珊（2021）。Hermite-Hadamard不等式的一些細化研究〔碩士論文，淡江大學〕。華藝線上圖書館。https://www.airitilibrary.com/Article/Detail?DocID=U0002-1401202110024500
- Huang, C. L. (2011). 遞增型態與r-Hoelder型態之映射的Gruess型態積分不等式與其在梯形公式上的應用 [master's thesis, Tamkang University]. Airiti Library. https://doi.org/10.6846/TKU.2011.00738
- 黃楷智（2011）。動態幾何系統GeoGebra對數學學習成效與認知診斷影響之研究-以簡易二次函數圖形為例〔碩士論文，國立交通大學〕。華藝線上圖書館。https://doi.org/10.6842/NCTU.2011.00179
- Imoru, C. O. (1978). A NOTE ON AN INEQUALITY FOR THE GAMMA FUNCTION. International Journal of Mathematics and Mathematical Sciences, 1978(), 227-233. https://doi.org/10.1155/S0161171278000265
- NISHIZAWA, Y. (2018). EXTENDED A CONSTANT PART OF REDHEFFER'S TYPE INEQUALITIES. Tamkang Journal of Mathematics, 49(1), 79-83. https://doi.org/10.5556/j.tkjm.49.2018.2505