系統識別號 | U0002-1506201109091300 |
---|---|
DOI | 10.6846/TKU.2011.01225 |
論文名稱(中文) | 多個凸函數相乘的 Hermite-Hadamard 不等式的研究 |
論文名稱(英文) | On some Hermite-Hadamard inequalities for product of 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 | 99 |
學期 | 2 |
出版年 | 100 |
研究生(中文) | 吳國楨 |
研究生(英文) | Kuo-Chen, Wu |
學號 | 798190129 |
學位類別 | 碩士 |
語言別 | 繁體中文 |
第二語言別 | |
口試日期 | 2011-06-04 |
論文頁數 | 26頁 |
口試委員 |
指導教授
-
陳功宇
委員 - 楊國勝 委員 - 曾貴麟 |
關鍵字(中) |
凸函數 Hadamard不等式 |
關鍵字(英) |
convex functions Hadamard’s inequality, |
第三語言關鍵字 | |
學科別分類 | |
中文摘要 |
論文提要內容:在2003年B. G. Pachpatte建立了兩個新的凸函數 相乘的 Hermite-Hadamard 不等式, 本論文主要目的是提出一些結果與其相似。 |
英文摘要 |
In 2003, B. G. Pachpatte established two new Hermite- Hadamard inequalities for products of convex functions. The main purpose of this paper is to provide some results. Which are similar to the inequalities. |
第三語言摘要 | |
論文目次 |
中文摘要 ……………………………………………………i 英文摘要 ……………………………………………………ii 謝 辭 ……………………………………………………iii 目 錄 ……………………………………………………iv 正文內容 ……………………………………………………1 參考文獻 ………………………………………………… 24 |
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 inqualities for differentiable mappings and applications to special means of real numbersand 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 applicaitions, J. Math. Anal. Appl., 245(2000), 489-501 [4]S.S. Dragomir and C.E.M. Pearce, Selected Topics on Hermite-Hadamard Inequalities and Applications, RGMIA Monographs, Victoria University, 2000. Online: [http://www. Staff.vu.edu.au/RGMIA/monographs/hermits_hadamard.html] [5]S.S. Dragomir and S. Wang, A new inequality of Ostrowski’s type in L1 norm and applications to some special means and to some numerical quadrature rule, Tamkang J. Math., 28(1997) 239-244. [6]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) 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., Hadamard-type inequalities for s-convex functions, Appl. Math. Comp., 193 (2007), 26-35. [9]U.S. Kirmaci, Inequalities for differentiable mappings and applicatios to special means of real numbers to midpoint formula, Appl. Math. Comp., 147 (2004), 137-146. [10]U.S. Kirmaci and M.E. Özdemir, 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. [11]M.E. Özdemir, A theorem on mappings with bounded derivatives with applications to quadrature rules and means, Appl. Math. Comp., 138 (2003), 425-434. [12]B.G. Pachpatte, On some migualities for convex functions RGMIA Res/Coll. 6 (E)(2003), http://rgmia, vu.edu.au/v6(E). html. [13]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. [14]G.S. Yang, D.Y. Hwang and K.L. Tseng, Some inequalities for differentiable convex and concave mappings, Comp. Math. Appl., 47(2004), 207-216. |
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