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  • 學位論文

凸函數的一些不等式

Some Inequalities For Convex Functions

指導教授 : 楊國勝

摘要


Hadmard's不等式是相當著名的不等式,研究者眾,最近 B.G.Pachpatte 做出兩函數相乘Hadmard's 型不等式。 本文Pachpatte所証的定理再推廣與運用,將雙函數f(x); g(x)推 廣至三函數f(x); g(x); h(x), 而得到一些不等式。

並列摘要


Some new inequalities related to the right-hand side of Hadamard’s inequalities are obtained.

參考文獻


[9] G.S. Yang , D.Y. Hwang and K.L. Tseng, Some inequalities for differentiable
[1] S.S Dragomir , Two mappings in connection to Hadamard’s inequalities,
[2] S.S Dragomir and R.P. Agarwal , Two inequalities for differentiable mappings
[3] S.S Dragomir, Y.J.Cho and Kim , Inqualities of Hadamard’s type for Lipschitzian
[4] S.S Dragomir and C.E.M. Pearce , Selected Topics on Hermite-Hadamard In-

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