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  • 學位論文

準凸函數的 Hermite-Hadamerd 型不等式的研究

Some Inequalities of Hermite-Hadamerd’s type for quasi-convex functions

指導教授 : 楊國勝

摘要


Hermite-Hadamerd’s不等式是相當多人研究的不等式,本研究主要欲建立 Hermite-Hadamard 之右邊不等式,其中所討論的函數,其導數之絕對值為準凸函數。

並列摘要


The main purpose of this paper is to establish inequalities related to the right hand side of Hermite-Hadamard’s type for function whose derivatives in absolute value are quasi-convex .

參考文獻


[8] U.S. Kirmaci and M.E. Ozdemir , On some inequalities for differentiable
[10] C.E.M. Pearce and J. Pecaric , Inequalities for differectiable mappings with
[11] G.S. Yang , D.Y. Hwang and K.I.. Tseng , Some inequalities for differentiable
[1] S.S. Dragomir , Two mappings in connection to Hadamard’s inequalities , J.
Math. Anal. Appl. , 167 (1992) , 49-56.

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