透過您的圖書館登入
IP:3.16.203.149
  • 學位論文

關於兩凸函數乘積的阿達瑪-赫米特不等式的研究

On some Hermite-Hadamard inequalities for product of convex functions

指導教授 : 楊國勝

摘要


本文的主要目的是推導出一些比(1.2)細緻的不等式

並列摘要


The main purpose of this paper is to give several refinements of the Hadamard’s inequality (1.2) .

參考文獻


[2]S.S.Dragomir and R.P.Agarwal,Two inqualities for differentiable mappings and applications to special means of real numbers and
[3]S.S.Dragomir,Y.J.Cho and S.S.Kim,Inequalities of Hadamard’s type for Lipschitzian mappings and their applications, J.Math.Anal. Appl.,245(2000),489-501.
[6]S.S.Dragomir and S.Wang,Applicaitions of Ostrowski’s inequality to the estimation of error bounds for some special means and for some numerical quadrature rule, Appl.Math.Lett.,11(1998) 1005-109.
[7]H.Hudzik and L.Maligranda, Some remarks on s-convex functions, Aequationes Math.,48(1994),100-111.
[8]U.S. Kirmaci et al.,Hadarmard-type inequalities for s-convex functions,Appl.Math Comp.,193(2007),26-35.

延伸閱讀