System No. U0002-1406201202133300 Ostrowski不等式的推廣 On generalization of Ostrowski's inequality 淡江大學 中等學校教師在職進修數學教學碩士學位班 Executive Master's Program In Mathematics for Teachers 100 2 101 陳可庭 Ko-Ting Chen 799190102 碩士 Traditional Chinese English 2012-06-08 46page advisor - Gou-Sheng Yang co-chair - 高金美 co-chair - 曾貴麟 Ostrowski 不等式 Ostrowski inequality `這篇論文中，我們將Ostrowski型不等式作三變數函數與四變數函數的推廣，並將其簡化回單變數函數與兩變數函數。` `The main purpose of this thesis is to prove the inequality of Ostrowski type for triple integrals and quadruple integrals, and reduce them to single integrals or double integrals.` ```1 序論 1 2 主要結果 1 參考文獻 23 1 Introducion 24 2 Main Results 25 Reference 46``` ```[1] N. S. Barnett and S. S. Dragomir, A ostrowski type inequality for double integrals and application for cubature formulae, Soochow J, Math, vol.27 no.1, (2001), 1-10. [2] S. S. Dragomir and S. Wang, A new inequality of Ostrowski's type in norm and applications to some special means and to some numerical quadrature rules, Tamkang J of Math, 28(1997), 239-244. [3] S. S. Dragomir and S. Wang, An inequality of Ostrowski-Gruss' type and its applications to the estimation of error bounds for some special means and for some numerical quadrature rules, Computers Math. Applic., 33(1997), 15-20. [4] S. S. Dragomir and S. Wang, Applications of Ostrowski's inequality to the estimation of error bounds for some special means and some numerical quadrature rules, Appl. Math. Lett., 11(1998), 105-109. [5]D. S. Mitrinovic, J. E. Pecaric and A. M. Fink, Inequalities Involving Functions and Their Integrals and Derivatives, Kluwer Academic Pubishers, Dordrecht / Boston / Loudon, 1991.``` Within Campus： On-campus access to my hard copy thesis/dissertation is open immediately Agree to authorize disclosure on campus Release immediately Outside the Campus： I grant the authorization for the public to view/print my electronic full text with royalty fee and contact me for receiving the payment.Release immediately