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系統識別號 U0002-1906201413082700
中文論文名稱 一些Hadamard不等式更細緻的結果
英文論文名稱 Several refinements of Hadamard᾽s inequalities
校院名稱 淡江大學
系所名稱(中) 中等學校教師在職進修數學教學碩士學位班
系所名稱(英) Executive Master's Program In Mathematics for Teachers
學年度 102
學期 2
出版年 103
研究生中文姓名 張鈺聆
研究生英文姓名 Yu-Ling Chang
學號 701190075
學位類別 碩士
語文別 中文
第二語文別 英文
口試日期 2014-06-17
論文頁數 44頁
口試委員 指導教授-楊國勝
委員-李武炎
委員-曾貴麟
中文關鍵字 凸函數  Hadamard不等式 
英文關鍵字 convex function  Hadamard᾽s inequalities 
學科別分類
中文摘要 本文的主要目的是推導出一些比(1.1)細緻的不等式
英文摘要 We establih some new inequalities related to the Hermite-Hadamard᾽s inequality
論文目次 中文部分
1.緒論 1
2.預備定理 1
3.主要結果 7
參考文獻 21

English part
1.Introduction 23
2.Preliminary 23
3.Main Results 30
Reference 43
參考文獻 參考文獻
[1]S.S. Dragomir, Two mappings in connection to Hadamard᾽s inequalities, J. Math. Anal. Appl., 167(1992) 49-56.
[2]S.S. Dragomir and R.P. Agarwal, Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula, Appl. Math. Lett., 11(1998) 91-95.
[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.
[4]S.S. Dragomir and C.E.M. Pearce, Selected Topics in Hermite-Hadamard Inequalities and Applications, RGMIA Monographs, Victoria University, 2000. Online:[ http://www.Staff.
vu.edu.au RGMIA/monographs/hermits_hadamard.html]
[5]U.S. Kirmaci. Inequalities for differentiable mappomg and applications to special means of real numbers to midpoint formula, Appl. Math. Comp., 147(2004), 137-146.
[6]U.S. Kirmaci and M.E. Ozdemir, On some inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula, Appl. Math. Comp.,153(2004), 361-368.
[7]M.E. Ozdemir, A theorem on mappings with bounded derivatives with applications to quadrature rules and means, Aool. Math. Comp., 138(2003), 425-434
[8]B.G. Pachpatte, On some inequalities for convex functions RGMIA Res/Coll. 6 (E)(2003), http://rgmia.vu.edu.au/v6(E).
[9]C.E.M Pearce and J. Pečarić, Inequalities for differentiable mappings with application to special means and quadrature formual, Appl. Math. Lett., 13(2000) 51-55.
[10]G.S. Yang, D.Y. Hwang and K.L. Tseng, Some ineqalities for differentiable convex and concave mappings, Comp. Math. Aool., 47(2004), 207-216.
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