§ 瀏覽學位論文書目資料
  
系統識別號 U0002-1506201209312100
DOI 10.6846/TKU.2012.00577
論文名稱(中文) 準凸函數的 Hermite-Hadamerd 型不等式的研究
論文名稱(英文) Some Inequalities of Hermite-Hadamerd’s type for quasi-convex functions
第三語言論文名稱
校院名稱 淡江大學
系所名稱(中文) 中等學校教師在職進修數學教學碩士學位班
系所名稱(英文) Executive Master's Program In Mathematics for Teachers
外國學位學校名稱
外國學位學院名稱
外國學位研究所名稱
學年度 100
學期 2
出版年 101
研究生(中文) 蔡黃凱
研究生(英文) Huang-Kai Tsai
學號 799190086
學位類別 碩士
語言別 繁體中文
第二語言別 英文
口試日期 2012-06-09
論文頁數 44頁
口試委員 指導教授 - 楊國勝
委員 - 李武炎
委員 - 胡德軍
關鍵字(中) Hermite-Hadamard 不等式
準凸函數
關鍵字(英) Hermite-Hadamard inequality
Quasi-convex function.
第三語言關鍵字
學科別分類
中文摘要
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。
英文摘要
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 .
第三語言摘要
論文目次
中文摘要	i
英文摘要	ii
目 次	iii
一、 前言	1
二、 主要的結果	4
參考文獻	21
附錄
1.  Introduction	23
2.  Main results	26
References	43
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 S. Wang , A new inequality of Ostrowski’s type in   norm 
    and applications to some special means and for some numerical quadrature rule , 
    Tamkang J. Math , 28(1997) , 239-244 . 
[5]  S.S. Dragomir and S. Wang . Applications 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) ,105-109 .
[6]  D.A. Ion, Some estimates on the Hermite-Hadamard inequality through 
    quasi-convex functions , Annals of University of Craiova , Math. Comp. Sci.
    Ser. , 34(2007) , 82-87 .
[7]  U.S. Kirmaci , Inequalities for differentiable mappings and applications to 
    special means of real numbers to midpoint formula , Appl. Math. Comp., 
    147(2004) , 137-146.
[8]  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 .
[9]  M.E. Ozdemir , Atheorem on mappings with bounded derivatives with 
     applications to quadrature rules and means, Appl. Math . Comp, 138(2003) , 
     425-434
[10]  C.E.M. Pearce and J. Pecaric , Inequalities for differectiable mappings with 
     application to special means , Appl. Math. Comp. 13(2000) , 51-55.
[11]  G.S. Yang , D.Y. Hwang and K.I.. Tseng , Some inequalities for differentiable 
     convex and concave mappings , Comp. Math. Appl. , 47(2004), 207-216.
論文全文使用權限
校內
校內紙本論文立即公開
同意電子論文全文授權校園內公開
校內電子論文立即公開
校外
同意授權予資料庫廠商
校外電子論文立即公開

如有問題,歡迎洽詢!
圖書館數位資訊組 (02)2621-5656 轉 2487 或 來信