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  • 學位論文

準凸函數的Hermite-Hadamard's 不等式及其 在一些平均數的應用

Hermite-Hadamard's inequalities for quasi-convex functions and applications to special mean of real numbers

指導教授 : 楊國勝

摘要


這篇論文當中, 我們建立了一些準凸函數的Hermite-Hadamard型的不等式, 以及一些在平均數上的應用。

關鍵字

凸函數 準凸函數 不等式

並列摘要


In the present paper,we establish several inequalities of Hermite-Hadamard type for functions of quasi-convex.

參考文獻


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[26] S. S. Dragomir and C. E. M. Pearce, Selected Topics on Hermite-Hadamard Inequalities and Applications, RGMIA Monographs, Victoria University, 2000. Online:http://www.staff.vu.edu.au/RGMIA/monographs/hermite-hadamard.html.
[11] S. S. Dragomir and S. Wang, A new inequality of Ostrowski’s type in L1 norm and
[1] M.Alomari, M. Darus and S.S. Dragomir , New inequalities of Hermite-Hadamard type for functions where second derivative absolute values are quasi-convex,
[2] R.P. Agarwal and S.S Dragomir, An application of Hayashi’s inequality for differentiable function, Computers Math. Applic. 32 (6) (1996), 95-99.

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