系統識別號 | U0002-1906201413082700 |
---|---|
DOI | 10.6846/TKU.2014.00720 |
論文名稱(中文) | 一些Hadamard不等式更細緻的結果 |
論文名稱(英文) | Several refinements of Hadamard᾽s inequalities |
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 | 102 |
學期 | 2 |
出版年 | 103 |
研究生(中文) | 張鈺聆 |
研究生(英文) | Yu-Ling Chang |
學號 | 701190075 |
學位類別 | 碩士 |
語言別 | 繁體中文 |
第二語言別 | 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 |
關鍵字(中) |
凸函數 Hadamard不等式 |
關鍵字(英) |
convex function Hadamard᾽s inequalities |
第三語言關鍵字 | |
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 |
第三語言摘要 | |
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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