系統識別號 | U0002-1406201119254500 |
---|---|
DOI | 10.6846/TKU.2011.00450 |
論文名稱(中文) | 有關導數為s-凸函數的一些不等式 |
論文名稱(英文) | Some Hermite-Hadamard inequalites for functions whose derivatives are s-convex |
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) | 林曉楣 |
研究生(英文) | Hsiao-Mei Lin |
學號 | 798190038 |
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 | 25頁 |
口試委員 |
指導教授
-
楊國勝
委員 - 楊國勝 委員 - 胡德軍 委員 - 張慧京 |
關鍵字(中) |
凸函數 s-凸函數 Hadamard不等式 |
關鍵字(英) |
convex s-convex Hermite-Hadamard |
第三語言關鍵字 | |
學科別分類 | |
中文摘要 |
這篇論文當中,我們建立了一些Hermite-Hadamard 型的不等式,考慮的函數是第二型的s-凸函數。 |
英文摘要 |
In the present paper,we establish several inequalities of Hermite-Hadamard type for functions of s-convex in the second sense. |
第三語言摘要 | |
論文目次 |
中文論文 1.序論...............................................1 2.本文...............................................3 3.特殊平均數的應用...........................10 參考文獻...........................................11 English paper 1.Introduction......................................13 2.Main Results....................................15 3. Applications To Special Means ........22 References..........................................23 |
參考文獻 |
1. M. Alomari and M. Darus,S.S.Dargomir,and U.S.Kirmaci, generalizations of the Hermite Hadamard type inequalities for function whose derivatives are s-convex, RGMIA Vol.12(2) Art,2009. 2. M. Alomari and M. Darus,Hadamard-type inequalities for s-convex functions, extit{Inter. Math. Forum}, 3 (40) (2008) 1965-1975. 3. M. Alomari and M. Darus, On co-ordinated s-convex functions, extit{Inter. Math. Forum}, 3 (40) (2008) 1977-1989. 4. M. Alomari and M. Darus, Co-ordinates s-convex function in the first sense with some Hadamard-type inequalities, extit{Int. J. Contemp. Math. Sci}, 3 (32) (2008) 1557-1567. 5. M. Alomari and M. Darus, Refinements of s-Orlicz convex function in normed linear spaces, extit{Int. J. Contemp. Math. Sci}, 3 (32) (2008) 1969-1594. 6. S.S. Dragomir and S. Fitzpatrick, The Hadamard's inequality for s-convex functions in the second sense, extit{Demonstratio Math}, 32 (4) (1999), 687-696. 7. S.S. Dragomir, s-Orlicz convex function in linear spaces and Jensen's discrete inequality, extit{J. Math. Anal. Appl.}, 210 (1997), 419-439. 8. S.S. Dragomir, Two mappings in connection to Hadamard's inequalites, extit{J. Math. Anal. Appl.}, 167 (1992), 49-56. 9. S.S. Dragomir and R.P. Agarwal, Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezodal formula, extit{Appl. Math. Lett.}, 11 (1998), 91-95. 10. S.S. Dragomir , Y.J. Cho and S.S. Kim, Inequalities of Hadamard's type for Lipschitzian mappings and their applications, extit{J. Math. Anal. Appl.}, 245 (2000), 489-501. 11. S.S. Dragomir and C.E.M. Pearce, extit{Selected Topics on Hermite-Hadamard Inequalities and Applications}, RGMIA Monographs, Victoria University. 2000. Online:[http://www.staff.vu.edu.au/RGMIA/monographs/hermite-hadamard.html]. 12. S.S. Dragomir and S. Wang, A new inequality of Ostrowski's type in L$_{1}$ norm and applications to some special means and to some numerical quadrature rule, extit{Tamkang J. Math.}, 28 (1997), 239-244. 13. 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, extit{Appl. Math. Lett.}, 11 (1998), 105-109. 14. H.Hudzik and L. Maligranda, Some remarks on s-convex functions, extsl{Aequations Math.}, 48 (1994), 100-111. 15. U.S. Kirmaci et al., Hadamard-type inequalities for s-convex functions, extsl{Appl. Math. Comp.}, 193 (2007), 26-35. 16. U.S. Kirmaci, Inequalites for differentiable mappings and applications to special means of real numbers to midpoint formula, extsl{Appl. Math. Comp.}, 147 (2004), 137-146. 17. U.S. Kirmaci and M.E. $ddot{O}$zdemir, On some inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula, extsl{Appl. Math. Comp.}, 153 (2004), 361-368. 18. M.E. $ddot{O}$zdemir, A theorem on mappings with bounded derivatives with applications to quadrature rules and means, extsl{Appl. Math. Comp.},138 (2003), 425-434. 19. C.E.M. Pearce and J. Pe$ reve{c}$ari$acute{c}$, Inequalities for differentiable mappings with application to special means and quadrature formula, extsl{Appl. Math. Lett.}, 13 (2000) 51-55. 20. G.S. Yang, D.Y. Hwang and K.L. Tseng, Some inequalities for differentiable convex and concave mapping, extsl{Comp. Math. Appl.}, 47 (2004), 207-216. |
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