並列摘要
Some inequalities on quasi-arithmetric means are established by using convexity and concavity.
並列關鍵字
quasi-arithmetric means參考文獻
[1] E.F.Beckenbach , R.Bellman , Inequalities, Spring-Verlag , Berlin-NewYork ,1961.
[2] Young. Ho Kim, Refinements and extension of an Inequality , T.Math , Aual , Appl.245 , 628-632（2000）.
[4] S.Abramovich , J.E. Pečarić and S.Varošanec , Comparison Theorems between several quasi-arithmetric means , Math. Ineq. Appl. Vol 7 , No1, 1-6（2004）
[3] D.S. Mitrinović , J.E. Pečarić and A.M.Fink , Classical and New Inequalities in Analysis , Kluwer Academic , Dordrecht�Boston�London , 1993.
延伸閱讀
- 張志銘（2012）。可微分函數的Hermite-Hadamard 型不等式的研究及其在某些特殊平均值的應用〔碩士論文，淡江大學〕。華藝線上圖書館。https://doi.org/10.6846/TKU.2012.00529
- 温麗東（2016）。一些更精細的 Hermite-Hadamard 不等式〔碩士論文，淡江大學〕。華藝線上圖書館。https://www.airitilibrary.com/Article/Detail?DocID=U0002-2805201615251200
- 廖俊欣（2018）。一些更精細的 Hermite-Hadamard 不等式〔碩士論文，淡江大學〕。華藝線上圖書館。https://www.airitilibrary.com/Article/Detail?DocID=U0002-1309201816025400
- Micic, J., Pavic, Z., & Pecaric, J. (2012). The Inequalities for Quasiarithmetic Means. Abstract and Applied Analysis, 2012(), 1441-1465. https://doi.org/10.1155/2012/203145
- Yang, G. S., Liu, S. J., & Chen, Y. J. (2012). Inequalities on Several Quasi-Arithmetic Means. Tamkang Journal of Mathematics, 43(2), 259-266. https://www.airitilibrary.com/Article/Detail?DocID=00492930-201206-201206200011-201206200011-259-266